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Simplifying 5(x + 5) + -3(x + 2) = 15 Reorder the terms: 5(5 + x) + -3(x + 2) = 15 (5 * 5 + x * 5) + -3(x + 2) = 15 (25 + 5x) + -3(x + 2) = 15 Reorder the terms: 25 + 5x + -3(2 + x) = 15 25 + 5x + (2 * -3 + x * -3) = 15 25 + 5x + (-6 + -3x) = 15 Reorder the terms: 25 + -6 + 5x + -3x = 15 Combine like terms: 25 + -6 = 19 19 + 5x + -3x = 15 Combine like terms: 5x + -3x = 2x 19 + 2x = 15 Solving 19 + 2x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 2x = 15 + -19 Combine like terms: 19 + -19 = 0 0 + 2x = 15 + -19 2x = 15 + -19 Combine like terms: 15 + -19 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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