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Simplifying -9(x + 2) + 27 = 17 + -10x Reorder the terms: -9(2 + x) + 27 = 17 + -10x (2 * -9 + x * -9) + 27 = 17 + -10x (-18 + -9x) + 27 = 17 + -10x Reorder the terms: -18 + 27 + -9x = 17 + -10x Combine like terms: -18 + 27 = 9 9 + -9x = 17 + -10x Solving 9 + -9x = 17 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 9 + -9x + 10x = 17 + -10x + 10x Combine like terms: -9x + 10x = 1x 9 + 1x = 17 + -10x + 10x Combine like terms: -10x + 10x = 0 9 + 1x = 17 + 0 9 + 1x = 17 Add '-9' to each side of the equation. 9 + -9 + 1x = 17 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 17 + -9 1x = 17 + -9 Combine like terms: 17 + -9 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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