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Simplifying 3(x + 25) + -2(-1x + 10) = 20 Reorder the terms: 3(25 + x) + -2(-1x + 10) = 20 (25 * 3 + x * 3) + -2(-1x + 10) = 20 (75 + 3x) + -2(-1x + 10) = 20 Reorder the terms: 75 + 3x + -2(10 + -1x) = 20 75 + 3x + (10 * -2 + -1x * -2) = 20 75 + 3x + (-20 + 2x) = 20 Reorder the terms: 75 + -20 + 3x + 2x = 20 Combine like terms: 75 + -20 = 55 55 + 3x + 2x = 20 Combine like terms: 3x + 2x = 5x 55 + 5x = 20 Solving 55 + 5x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + 5x = 20 + -55 Combine like terms: 55 + -55 = 0 0 + 5x = 20 + -55 5x = 20 + -55 Combine like terms: 20 + -55 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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