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Simplifying -5x + 5(1 + -1x) = 3x + -2(1 + -1x) -5x + (1 * 5 + -1x * 5) = 3x + -2(1 + -1x) -5x + (5 + -5x) = 3x + -2(1 + -1x) Reorder the terms: 5 + -5x + -5x = 3x + -2(1 + -1x) Combine like terms: -5x + -5x = -10x 5 + -10x = 3x + -2(1 + -1x) 5 + -10x = 3x + (1 * -2 + -1x * -2) 5 + -10x = 3x + (-2 + 2x) Reorder the terms: 5 + -10x = -2 + 3x + 2x Combine like terms: 3x + 2x = 5x 5 + -10x = -2 + 5x Solving 5 + -10x = -2 + 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. 5 + -10x + -5x = -2 + 5x + -5x Combine like terms: -10x + -5x = -15x 5 + -15x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -15x = -2 + 0 5 + -15x = -2 Add '-5' to each side of the equation. 5 + -5 + -15x = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -15x = -2 + -5 -15x = -2 + -5 Combine like terms: -2 + -5 = -7 -15x = -7 Divide each side by '-15'. x = 0.4666666667 Simplifying x = 0.4666666667
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