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Simplifying 2(x + 10) + 3(x + 20) = -15 Reorder the terms: 2(10 + x) + 3(x + 20) = -15 (10 * 2 + x * 2) + 3(x + 20) = -15 (20 + 2x) + 3(x + 20) = -15 Reorder the terms: 20 + 2x + 3(20 + x) = -15 20 + 2x + (20 * 3 + x * 3) = -15 20 + 2x + (60 + 3x) = -15 Reorder the terms: 20 + 60 + 2x + 3x = -15 Combine like terms: 20 + 60 = 80 80 + 2x + 3x = -15 Combine like terms: 2x + 3x = 5x 80 + 5x = -15 Solving 80 + 5x = -15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + 5x = -15 + -80 Combine like terms: 80 + -80 = 0 0 + 5x = -15 + -80 5x = -15 + -80 Combine like terms: -15 + -80 = -95 5x = -95 Divide each side by '5'. x = -19 Simplifying x = -19
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