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Simplifying x + -14 = 9(2x + 3) + -24 Reorder the terms: -14 + x = 9(2x + 3) + -24 Reorder the terms: -14 + x = 9(3 + 2x) + -24 -14 + x = (3 * 9 + 2x * 9) + -24 -14 + x = (27 + 18x) + -24 Reorder the terms: -14 + x = 27 + -24 + 18x Combine like terms: 27 + -24 = 3 -14 + x = 3 + 18x Solving -14 + x = 3 + 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. -14 + x + -18x = 3 + 18x + -18x Combine like terms: x + -18x = -17x -14 + -17x = 3 + 18x + -18x Combine like terms: 18x + -18x = 0 -14 + -17x = 3 + 0 -14 + -17x = 3 Add '14' to each side of the equation. -14 + 14 + -17x = 3 + 14 Combine like terms: -14 + 14 = 0 0 + -17x = 3 + 14 -17x = 3 + 14 Combine like terms: 3 + 14 = 17 -17x = 17 Divide each side by '-17'. x = -1 Simplifying x = -1
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