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Simplifying 3 + -1(5x + -5) = 2x + -3(4 + -1x) Reorder the terms: 3 + -1(-5 + 5x) = 2x + -3(4 + -1x) 3 + (-5 * -1 + 5x * -1) = 2x + -3(4 + -1x) 3 + (5 + -5x) = 2x + -3(4 + -1x) Combine like terms: 3 + 5 = 8 8 + -5x = 2x + -3(4 + -1x) 8 + -5x = 2x + (4 * -3 + -1x * -3) 8 + -5x = 2x + (-12 + 3x) Reorder the terms: 8 + -5x = -12 + 2x + 3x Combine like terms: 2x + 3x = 5x 8 + -5x = -12 + 5x Solving 8 + -5x = -12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + -5x + -5x = -12 + 5x + -5x Combine like terms: -5x + -5x = -10x 8 + -10x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -10x = -12 + 0 8 + -10x = -12 Add '-8' to each side of the equation. 8 + -8 + -10x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = -12 + -8 -10x = -12 + -8 Combine like terms: -12 + -8 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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