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Simplifying 180 = (2x + 8) + (3x + 12) Reorder the terms: 180 = (8 + 2x) + (3x + 12) Remove parenthesis around (8 + 2x) 180 = 8 + 2x + (3x + 12) Reorder the terms: 180 = 8 + 2x + (12 + 3x) Remove parenthesis around (12 + 3x) 180 = 8 + 2x + 12 + 3x Reorder the terms: 180 = 8 + 12 + 2x + 3x Combine like terms: 8 + 12 = 20 180 = 20 + 2x + 3x Combine like terms: 2x + 3x = 5x 180 = 20 + 5x Solving 180 = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 180 + -5x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 180 + -5x = 20 + 0 180 + -5x = 20 Add '-180' to each side of the equation. 180 + -180 + -5x = 20 + -180 Combine like terms: 180 + -180 = 0 0 + -5x = 20 + -180 -5x = 20 + -180 Combine like terms: 20 + -180 = -160 -5x = -160 Divide each side by '-5'. x = 32 Simplifying x = 32
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