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Simplifying 5(3x + 7) = -49 + 24 Reorder the terms: 5(7 + 3x) = -49 + 24 (7 * 5 + 3x * 5) = -49 + 24 (35 + 15x) = -49 + 24 Combine like terms: -49 + 24 = -25 35 + 15x = -25 Solving 35 + 15x = -25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 15x = -25 + -35 Combine like terms: 35 + -35 = 0 0 + 15x = -25 + -35 15x = -25 + -35 Combine like terms: -25 + -35 = -60 15x = -60 Divide each side by '15'. x = -4 Simplifying x = -4
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