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