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Simplifying 17 = 3x + 2(x + -9) Reorder the terms: 17 = 3x + 2(-9 + x) 17 = 3x + (-9 * 2 + x * 2) 17 = 3x + (-18 + 2x) Reorder the terms: 17 = -18 + 3x + 2x Combine like terms: 3x + 2x = 5x 17 = -18 + 5x Solving 17 = -18 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 17 + -5x = -18 + 5x + -5x Combine like terms: 5x + -5x = 0 17 + -5x = -18 + 0 17 + -5x = -18 Add '-17' to each side of the equation. 17 + -17 + -5x = -18 + -17 Combine like terms: 17 + -17 = 0 0 + -5x = -18 + -17 -5x = -18 + -17 Combine like terms: -18 + -17 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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