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Simplifying 12 + (5 + -5x) + -1(1 + -1x) = 3x + -2(x + -3) Remove parenthesis around (5 + -5x) 12 + 5 + -5x + -1(1 + -1x) = 3x + -2(x + -3) 12 + 5 + -5x + (1 * -1 + -1x * -1) = 3x + -2(x + -3) 12 + 5 + -5x + (-1 + 1x) = 3x + -2(x + -3) Reorder the terms: 12 + 5 + -1 + -5x + 1x = 3x + -2(x + -3) Combine like terms: 12 + 5 = 17 17 + -1 + -5x + 1x = 3x + -2(x + -3) Combine like terms: 17 + -1 = 16 16 + -5x + 1x = 3x + -2(x + -3) Combine like terms: -5x + 1x = -4x 16 + -4x = 3x + -2(x + -3) Reorder the terms: 16 + -4x = 3x + -2(-3 + x) 16 + -4x = 3x + (-3 * -2 + x * -2) 16 + -4x = 3x + (6 + -2x) Reorder the terms: 16 + -4x = 6 + 3x + -2x Combine like terms: 3x + -2x = 1x 16 + -4x = 6 + 1x Solving 16 + -4x = 6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 16 + -4x + -1x = 6 + 1x + -1x Combine like terms: -4x + -1x = -5x 16 + -5x = 6 + 1x + -1x Combine like terms: 1x + -1x = 0 16 + -5x = 6 + 0 16 + -5x = 6 Add '-16' to each side of the equation. 16 + -16 + -5x = 6 + -16 Combine like terms: 16 + -16 = 0 0 + -5x = 6 + -16 -5x = 6 + -16 Combine like terms: 6 + -16 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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