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Simplifying -3 + (5 + -3x) + -1(1 + -1x) = 5x + -2(x + -3) Remove parenthesis around (5 + -3x) -3 + 5 + -3x + -1(1 + -1x) = 5x + -2(x + -3) -3 + 5 + -3x + (1 * -1 + -1x * -1) = 5x + -2(x + -3) -3 + 5 + -3x + (-1 + 1x) = 5x + -2(x + -3) Reorder the terms: -3 + 5 + -1 + -3x + 1x = 5x + -2(x + -3) Combine like terms: -3 + 5 = 2 2 + -1 + -3x + 1x = 5x + -2(x + -3) Combine like terms: 2 + -1 = 1 1 + -3x + 1x = 5x + -2(x + -3) Combine like terms: -3x + 1x = -2x 1 + -2x = 5x + -2(x + -3) Reorder the terms: 1 + -2x = 5x + -2(-3 + x) 1 + -2x = 5x + (-3 * -2 + x * -2) 1 + -2x = 5x + (6 + -2x) Reorder the terms: 1 + -2x = 6 + 5x + -2x Combine like terms: 5x + -2x = 3x 1 + -2x = 6 + 3x Solving 1 + -2x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 1 + -2x + -3x = 6 + 3x + -3x Combine like terms: -2x + -3x = -5x 1 + -5x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + -5x = 6 + 0 1 + -5x = 6 Add '-1' to each side of the equation. 1 + -1 + -5x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 6 + -1 -5x = 6 + -1 Combine like terms: 6 + -1 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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