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Simplifying 2(x + 15) + (3x + 20) = 180 Reorder the terms: 2(15 + x) + (3x + 20) = 180 (15 * 2 + x * 2) + (3x + 20) = 180 (30 + 2x) + (3x + 20) = 180 Reorder the terms: 30 + 2x + (20 + 3x) = 180 Remove parenthesis around (20 + 3x) 30 + 2x + 20 + 3x = 180 Reorder the terms: 30 + 20 + 2x + 3x = 180 Combine like terms: 30 + 20 = 50 50 + 2x + 3x = 180 Combine like terms: 2x + 3x = 5x 50 + 5x = 180 Solving 50 + 5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 5x = 180 + -50 Combine like terms: 50 + -50 = 0 0 + 5x = 180 + -50 5x = 180 + -50 Combine like terms: 180 + -50 = 130 5x = 130 Divide each side by '5'. x = 26 Simplifying x = 26
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