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Simplifying 5(2x + 7) = -49 + 64 Reorder the terms: 5(7 + 2x) = -49 + 64 (7 * 5 + 2x * 5) = -49 + 64 (35 + 10x) = -49 + 64 Combine like terms: -49 + 64 = 15 35 + 10x = 15 Solving 35 + 10x = 15 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 + 10x = 15 + -35 Combine like terms: 35 + -35 = 0 0 + 10x = 15 + -35 10x = 15 + -35 Combine like terms: 15 + -35 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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