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Sagot :
Answer:
x = -1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Distributive Property
Algebra I
- Terms/Coefficients
- Factoring
Step-by-step explanation:
Step 1: Define
-3 - 4x - 2(1 + 3x) = 1 - 2x + 2
Step 2: Solve for x
- [Addition] Combine like terms: -3 - 4x - 2(1 + 3x) = -2x + 3
- [Addition Property of Equality] Add 3 on both sides: -4x - 2(1 + 3x) = -2x + 6
- [Addition Property of Equality] Add 4x on both sides: -2(1 + 3x) = 2x + 6
- Factor GCF: -2(1 + 3x) = 2(x + 3)
- [Division Property of Equality] Divide -2 on both sides: 1 + 3x = -(x + 3)
- [Distributive Property] Distribute negative: 1 + 3x = -x - 3
- [Addition Property of Equality] Add x on both sides: 1 + 4x = -3
- [Subtraction Property of Equality] Subtract 1 on both sides: 4x = -4
- [Division Property of Equality] Divide 4 on both sides: x = -1
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