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Simplifying x + -29 = 9(2x + 3) + -5 Reorder the terms: -29 + x = 9(2x + 3) + -5 Reorder the terms: -29 + x = 9(3 + 2x) + -5 -29 + x = (3 * 9 + 2x * 9) + -5 -29 + x = (27 + 18x) + -5 Reorder the terms: -29 + x = 27 + -5 + 18x Combine like terms: 27 + -5 = 22 -29 + x = 22 + 18x Solving -29 + x = 22 + 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. -29 + x + -18x = 22 + 18x + -18x Combine like terms: x + -18x = -17x -29 + -17x = 22 + 18x + -18x Combine like terms: 18x + -18x = 0 -29 + -17x = 22 + 0 -29 + -17x = 22 Add '29' to each side of the equation. -29 + 29 + -17x = 22 + 29 Combine like terms: -29 + 29 = 0 0 + -17x = 22 + 29 -17x = 22 + 29 Combine like terms: 22 + 29 = 51 -17x = 51 Divide each side by '-17'. x = -3 Simplifying x = -3
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