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Simplifying 12 + -2(x + -1) = 12(x + -2) Reorder the terms: 12 + -2(-1 + x) = 12(x + -2) 12 + (-1 * -2 + x * -2) = 12(x + -2) 12 + (2 + -2x) = 12(x + -2) Combine like terms: 12 + 2 = 14 14 + -2x = 12(x + -2) Reorder the terms: 14 + -2x = 12(-2 + x) 14 + -2x = (-2 * 12 + x * 12) 14 + -2x = (-24 + 12x) Solving 14 + -2x = -24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 14 + -2x + -12x = -24 + 12x + -12x Combine like terms: -2x + -12x = -14x 14 + -14x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 14 + -14x = -24 + 0 14 + -14x = -24 Add '-14' to each side of the equation. 14 + -14 + -14x = -24 + -14 Combine like terms: 14 + -14 = 0 0 + -14x = -24 + -14 -14x = -24 + -14 Combine like terms: -24 + -14 = -38 -14x = -38 Divide each side by '-14'. x = 2.714285714 Simplifying x = 2.714285714
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