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Simplifying 3(x + 1) + -1(2 + -2x) = 4(x + -2) Reorder the terms: 3(1 + x) + -1(2 + -2x) = 4(x + -2) (1 * 3 + x * 3) + -1(2 + -2x) = 4(x + -2) (3 + 3x) + -1(2 + -2x) = 4(x + -2) 3 + 3x + (2 * -1 + -2x * -1) = 4(x + -2) 3 + 3x + (-2 + 2x) = 4(x + -2) Reorder the terms: 3 + -2 + 3x + 2x = 4(x + -2) Combine like terms: 3 + -2 = 1 1 + 3x + 2x = 4(x + -2) Combine like terms: 3x + 2x = 5x 1 + 5x = 4(x + -2) Reorder the terms: 1 + 5x = 4(-2 + x) 1 + 5x = (-2 * 4 + x * 4) 1 + 5x = (-8 + 4x) Solving 1 + 5x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + 5x + -4x = -8 + 4x + -4x Combine like terms: 5x + -4x = 1x 1 + 1x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + 1x = -8 + 0 1 + 1x = -8 Add '-1' to each side of the equation. 1 + -1 + 1x = -8 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = -8 + -1 1x = -8 + -1 Combine like terms: -8 + -1 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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