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Simplifying 5(2x + 9) = -49 + 24 Reorder the terms: 5(9 + 2x) = -49 + 24 (9 * 5 + 2x * 5) = -49 + 24 (45 + 10x) = -49 + 24 Combine like terms: -49 + 24 = -25 45 + 10x = -25 Solving 45 + 10x = -25 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 + 10x = -25 + -45 Combine like terms: 45 + -45 = 0 0 + 10x = -25 + -45 10x = -25 + -45 Combine like terms: -25 + -45 = -70 10x = -70 Divide each side by '10'. x = -7 Simplifying x = -7
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