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Simplifying 3(x + 10) + -2(-1x + 5) = 15 Reorder the terms: 3(10 + x) + -2(-1x + 5) = 15 (10 * 3 + x * 3) + -2(-1x + 5) = 15 (30 + 3x) + -2(-1x + 5) = 15 Reorder the terms: 30 + 3x + -2(5 + -1x) = 15 30 + 3x + (5 * -2 + -1x * -2) = 15 30 + 3x + (-10 + 2x) = 15 Reorder the terms: 30 + -10 + 3x + 2x = 15 Combine like terms: 30 + -10 = 20 20 + 3x + 2x = 15 Combine like terms: 3x + 2x = 5x 20 + 5x = 15 Solving 20 + 5x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 5x = 15 + -20 Combine like terms: 20 + -20 = 0 0 + 5x = 15 + -20 5x = 15 + -20 Combine like terms: 15 + -20 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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