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Simplifying -2(2x + 1) + -2 = 2(12 + -1x) Reorder the terms: -2(1 + 2x) + -2 = 2(12 + -1x) (1 * -2 + 2x * -2) + -2 = 2(12 + -1x) (-2 + -4x) + -2 = 2(12 + -1x) Reorder the terms: -2 + -2 + -4x = 2(12 + -1x) Combine like terms: -2 + -2 = -4 -4 + -4x = 2(12 + -1x) -4 + -4x = (12 * 2 + -1x * 2) -4 + -4x = (24 + -2x) Solving -4 + -4x = 24 + -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. -4 + -4x + 2x = 24 + -2x + 2x Combine like terms: -4x + 2x = -2x -4 + -2x = 24 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + -2x = 24 + 0 -4 + -2x = 24 Add '4' to each side of the equation. -4 + 4 + -2x = 24 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = 24 + 4 -2x = 24 + 4 Combine like terms: 24 + 4 = 28 -2x = 28 Divide each side by '-2'. x = -14 Simplifying x = -14
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