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Simplifying 9(1 + -1x) + -5x = -12(x + 2) (1 * 9 + -1x * 9) + -5x = -12(x + 2) (9 + -9x) + -5x = -12(x + 2) Combine like terms: -9x + -5x = -14x 9 + -14x = -12(x + 2) Reorder the terms: 9 + -14x = -12(2 + x) 9 + -14x = (2 * -12 + x * -12) 9 + -14x = (-24 + -12x) Solving 9 + -14x = -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. 9 + -14x + 12x = -24 + -12x + 12x Combine like terms: -14x + 12x = -2x 9 + -2x = -24 + -12x + 12x Combine like terms: -12x + 12x = 0 9 + -2x = -24 + 0 9 + -2x = -24 Add '-9' to each side of the equation. 9 + -9 + -2x = -24 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = -24 + -9 -2x = -24 + -9 Combine like terms: -24 + -9 = -33 -2x = -33 Divide each side by '-2'. x = 16.5 Simplifying x = 16.5
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