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Simplifying -2(x + -1) + -4(1 + -1x) = 12 Reorder the terms: -2(-1 + x) + -4(1 + -1x) = 12 (-1 * -2 + x * -2) + -4(1 + -1x) = 12 (2 + -2x) + -4(1 + -1x) = 12 2 + -2x + (1 * -4 + -1x * -4) = 12 2 + -2x + (-4 + 4x) = 12 Reorder the terms: 2 + -4 + -2x + 4x = 12 Combine like terms: 2 + -4 = -2 -2 + -2x + 4x = 12 Combine like terms: -2x + 4x = 2x -2 + 2x = 12 Solving -2 + 2x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. 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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