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Simplifying 9x + 17 = 2(x + -9) Reorder the terms: 17 + 9x = 2(x + -9) Reorder the terms: 17 + 9x = 2(-9 + x) 17 + 9x = (-9 * 2 + x * 2) 17 + 9x = (-18 + 2x) Solving 17 + 9x = -18 + 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. 17 + 9x + -2x = -18 + 2x + -2x Combine like terms: 9x + -2x = 7x 17 + 7x = -18 + 2x + -2x Combine like terms: 2x + -2x = 0 17 + 7x = -18 + 0 17 + 7x = -18 Add '-17' to each side of the equation. 17 + -17 + 7x = -18 + -17 Combine like terms: 17 + -17 = 0 0 + 7x = -18 + -17 7x = -18 + -17 Combine like terms: -18 + -17 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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