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