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Simplifying -12(x + -1) = 2(x + 24) Reorder the terms: -12(-1 + x) = 2(x + 24) (-1 * -12 + x * -12) = 2(x + 24) (12 + -12x) = 2(x + 24) Reorder the terms: 12 + -12x = 2(24 + x) 12 + -12x = (24 * 2 + x * 2) 12 + -12x = (48 + 2x) Solving 12 + -12x = 48 + 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 + -12x + -2x = 48 + 2x + -2x Combine like terms: -12x + -2x = -14x 12 + -14x = 48 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -14x = 48 + 0 12 + -14x = 48 Add '-12' to each side of the equation. 12 + -12 + -14x = 48 + -12 Combine like terms: 12 + -12 = 0 0 + -14x = 48 + -12 -14x = 48 + -12 Combine like terms: 48 + -12 = 36 -14x = 36 Divide each side by '-14'. x = -2.571428571 Simplifying x = -2.571428571
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