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Simplifying -1x + 12 = 4 + -1(2x + -1) Reorder the terms: 12 + -1x = 4 + -1(2x + -1) Reorder the terms: 12 + -1x = 4 + -1(-1 + 2x) 12 + -1x = 4 + (-1 * -1 + 2x * -1) 12 + -1x = 4 + (1 + -2x) Combine like terms: 4 + 1 = 5 12 + -1x = 5 + -2x Solving 12 + -1x = 5 + -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. 12 + -1x + 2x = 5 + -2x + 2x Combine like terms: -1x + 2x = 1x 12 + 1x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 1x = 5 + 0 12 + 1x = 5 Add '-12' to each side of the equation. 12 + -12 + 1x = 5 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 5 + -12 1x = 5 + -12 Combine like terms: 5 + -12 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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