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Simplifying 2(x + -1) = -4(3 + -1x) Reorder the terms: 2(-1 + x) = -4(3 + -1x) (-1 * 2 + x * 2) = -4(3 + -1x) (-2 + 2x) = -4(3 + -1x) -2 + 2x = (3 * -4 + -1x * -4) -2 + 2x = (-12 + 4x) Solving -2 + 2x = -12 + 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. -2 + 2x + -4x = -12 + 4x + -4x Combine like terms: 2x + -4x = -2x -2 + -2x = -12 + 4x + -4x Combine like terms: 4x + -4x = 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 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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