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Simplifying (12x + 20) + 2(10x + 10) = 180 Reorder the terms: (20 + 12x) + 2(10x + 10) = 180 Remove parenthesis around (20 + 12x) 20 + 12x + 2(10x + 10) = 180 Reorder the terms: 20 + 12x + 2(10 + 10x) = 180 20 + 12x + (10 * 2 + 10x * 2) = 180 20 + 12x + (20 + 20x) = 180 Reorder the terms: 20 + 20 + 12x + 20x = 180 Combine like terms: 20 + 20 = 40 40 + 12x + 20x = 180 Combine like terms: 12x + 20x = 32x 40 + 32x = 180 Solving 40 + 32x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 32x = 180 + -40 Combine like terms: 40 + -40 = 0 0 + 32x = 180 + -40 32x = 180 + -40 Combine like terms: 180 + -40 = 140 32x = 140 Divide each side by '32'. x = 4.375 Simplifying x = 4.375
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