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Simplifying -3(x + -1) = 2(x + 1) + -4(x + -2) Reorder the terms: -3(-1 + x) = 2(x + 1) + -4(x + -2) (-1 * -3 + x * -3) = 2(x + 1) + -4(x + -2) (3 + -3x) = 2(x + 1) + -4(x + -2) Reorder the terms: 3 + -3x = 2(1 + x) + -4(x + -2) 3 + -3x = (1 * 2 + x * 2) + -4(x + -2) 3 + -3x = (2 + 2x) + -4(x + -2) Reorder the terms: 3 + -3x = 2 + 2x + -4(-2 + x) 3 + -3x = 2 + 2x + (-2 * -4 + x * -4) 3 + -3x = 2 + 2x + (8 + -4x) Reorder the terms: 3 + -3x = 2 + 8 + 2x + -4x Combine like terms: 2 + 8 = 10 3 + -3x = 10 + 2x + -4x Combine like terms: 2x + -4x = -2x 3 + -3x = 10 + -2x Solving 3 + -3x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 3 + -3x + 2x = 10 + -2x + 2x Combine like terms: -3x + 2x = -1x 3 + -1x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + -1x = 10 + 0 3 + -1x = 10 Add '-3' to each side of the equation. 3 + -3 + -1x = 10 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 10 + -3 -1x = 10 + -3 Combine like terms: 10 + -3 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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