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Simplifying 5(4x + 9) = -29 + 14 Reorder the terms: 5(9 + 4x) = -29 + 14 (9 * 5 + 4x * 5) = -29 + 14 (45 + 20x) = -29 + 14 Combine like terms: -29 + 14 = -15 45 + 20x = -15 Solving 45 + 20x = -15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 20x = -15 + -45 Combine like terms: 45 + -45 = 0 0 + 20x = -15 + -45 20x = -15 + -45 Combine like terms: -15 + -45 = -60 20x = -60 Divide each side by '20'. x = -3 Simplifying x = -3
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