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Simplifying 17 + -12(x + 1) = 9 + -11x Reorder the terms: 17 + -12(1 + x) = 9 + -11x 17 + (1 * -12 + x * -12) = 9 + -11x 17 + (-12 + -12x) = 9 + -11x Combine like terms: 17 + -12 = 5 5 + -12x = 9 + -11x Solving 5 + -12x = 9 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 5 + -12x + 11x = 9 + -11x + 11x Combine like terms: -12x + 11x = -1x 5 + -1x = 9 + -11x + 11x Combine like terms: -11x + 11x = 0 5 + -1x = 9 + 0 5 + -1x = 9 Add '-5' to each side of the equation. 5 + -5 + -1x = 9 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 9 + -5 -1x = 9 + -5 Combine like terms: 9 + -5 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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