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Simplifying 1(x + 5) + 1(2x + 15) + 1(2x + 10) = 180 Reorder the terms: 1(5 + x) + 1(2x + 15) + 1(2x + 10) = 180 (5 * 1 + x * 1) + 1(2x + 15) + 1(2x + 10) = 180 (5 + 1x) + 1(2x + 15) + 1(2x + 10) = 180 Reorder the terms: 5 + 1x + 1(15 + 2x) + 1(2x + 10) = 180 5 + 1x + (15 * 1 + 2x * 1) + 1(2x + 10) = 180 5 + 1x + (15 + 2x) + 1(2x + 10) = 180 Reorder the terms: 5 + 1x + 15 + 2x + 1(10 + 2x) = 180 5 + 1x + 15 + 2x + (10 * 1 + 2x * 1) = 180 5 + 1x + 15 + 2x + (10 + 2x) = 180 Reorder the terms: 5 + 15 + 10 + 1x + 2x + 2x = 180 Combine like terms: 5 + 15 = 20 20 + 10 + 1x + 2x + 2x = 180 Combine like terms: 20 + 10 = 30 30 + 1x + 2x + 2x = 180 Combine like terms: 1x + 2x = 3x 30 + 3x + 2x = 180 Combine like terms: 3x + 2x = 5x 30 + 5x = 180 Solving 30 + 5x = 180 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 = 180 + -30 Combine like terms: 30 + -30 = 0 0 + 5x = 180 + -30 5x = 180 + -30 Combine like terms: 180 + -30 = 150 5x = 150 Divide each side by '5'. x = 30 Simplifying x = 30
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