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Simplifying x + -24 = 9(2x + 3) + -17 Reorder the terms: -24 + x = 9(2x + 3) + -17 Reorder the terms: -24 + x = 9(3 + 2x) + -17 -24 + x = (3 * 9 + 2x * 9) + -17 -24 + x = (27 + 18x) + -17 Reorder the terms: -24 + x = 27 + -17 + 18x Combine like terms: 27 + -17 = 10 -24 + x = 10 + 18x Solving -24 + x = 10 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -24 + x + -18x = 10 + 18x + -18x Combine like terms: x + -18x = -17x -24 + -17x = 10 + 18x + -18x Combine like terms: 18x + -18x = 0 -24 + -17x = 10 + 0 -24 + -17x = 10 Add '24' to each side of the equation. -24 + 24 + -17x = 10 + 24 Combine like terms: -24 + 24 = 0 0 + -17x = 10 + 24 -17x = 10 + 24 Combine like terms: 10 + 24 = 34 -17x = 34 Divide each side by '-17'. x = -2 Simplifying x = -2
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