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Simplifying 9(2x + -3) + -2(x + 2) = 17 Reorder the terms: 9(-3 + 2x) + -2(x + 2) = 17 (-3 * 9 + 2x * 9) + -2(x + 2) = 17 (-27 + 18x) + -2(x + 2) = 17 Reorder the terms: -27 + 18x + -2(2 + x) = 17 -27 + 18x + (2 * -2 + x * -2) = 17 -27 + 18x + (-4 + -2x) = 17 Reorder the terms: -27 + -4 + 18x + -2x = 17 Combine like terms: -27 + -4 = -31 -31 + 18x + -2x = 17 Combine like terms: 18x + -2x = 16x -31 + 16x = 17 Solving -31 + 16x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 16x = 17 + 31 Combine like terms: -31 + 31 = 0 0 + 16x = 17 + 31 16x = 17 + 31 Combine like terms: 17 + 31 = 48 16x = 48 Divide each side by '16'. x = 3 Simplifying x = 3
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