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Simplifying -2(-1x + 1) + -1(x + -4) = 3(x + -4) Reorder the terms: -2(1 + -1x) + -1(x + -4) = 3(x + -4) (1 * -2 + -1x * -2) + -1(x + -4) = 3(x + -4) (-2 + 2x) + -1(x + -4) = 3(x + -4) Reorder the terms: -2 + 2x + -1(-4 + x) = 3(x + -4) -2 + 2x + (-4 * -1 + x * -1) = 3(x + -4) -2 + 2x + (4 + -1x) = 3(x + -4) Reorder the terms: -2 + 4 + 2x + -1x = 3(x + -4) Combine like terms: -2 + 4 = 2 2 + 2x + -1x = 3(x + -4) Combine like terms: 2x + -1x = 1x 2 + 1x = 3(x + -4) Reorder the terms: 2 + 1x = 3(-4 + x) 2 + 1x = (-4 * 3 + x * 3) 2 + 1x = (-12 + 3x) Solving 2 + 1x = -12 + 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. 2 + 1x + -3x = -12 + 3x + -3x Combine like terms: 1x + -3x = -2x 2 + -2x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -2x = -12 + 0 2 + -2x = -12 Add '-2' to each side of the equation. 2 + -2 + -2x = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = -12 + -2 -2x = -12 + -2 Combine like terms: -12 + -2 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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