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Simplifying -2 + (5 + -3x) + -1(1 + -1x) = 2x + -2(x + -3) Remove parenthesis around (5 + -3x) -2 + 5 + -3x + -1(1 + -1x) = 2x + -2(x + -3) -2 + 5 + -3x + (1 * -1 + -1x * -1) = 2x + -2(x + -3) -2 + 5 + -3x + (-1 + 1x) = 2x + -2(x + -3) Reorder the terms: -2 + 5 + -1 + -3x + 1x = 2x + -2(x + -3) Combine like terms: -2 + 5 = 3 3 + -1 + -3x + 1x = 2x + -2(x + -3) Combine like terms: 3 + -1 = 2 2 + -3x + 1x = 2x + -2(x + -3) Combine like terms: -3x + 1x = -2x 2 + -2x = 2x + -2(x + -3) Reorder the terms: 2 + -2x = 2x + -2(-3 + x) 2 + -2x = 2x + (-3 * -2 + x * -2) 2 + -2x = 2x + (6 + -2x) Reorder the terms: 2 + -2x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + -2x = 6 + 0 2 + -2x = 6 Solving 2 + -2x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -2x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 6 + -2 -2x = 6 + -2 Combine like terms: 6 + -2 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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