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Simplifying 3(x + 20) + -2(-1x + 15) = 20 Reorder the terms: 3(20 + x) + -2(-1x + 15) = 20 (20 * 3 + x * 3) + -2(-1x + 15) = 20 (60 + 3x) + -2(-1x + 15) = 20 Reorder the terms: 60 + 3x + -2(15 + -1x) = 20 60 + 3x + (15 * -2 + -1x * -2) = 20 60 + 3x + (-30 + 2x) = 20 Reorder the terms: 60 + -30 + 3x + 2x = 20 Combine like terms: 60 + -30 = 30 30 + 3x + 2x = 20 Combine like terms: 3x + 2x = 5x 30 + 5x = 20 Solving 30 + 5x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 5x = 20 + -30 Combine like terms: 30 + -30 = 0 0 + 5x = 20 + -30 5x = 20 + -30 Combine like terms: 20 + -30 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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