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Simplifying (2(x + 25)) + (2x + -30) = 180 Reorder the terms: (2(25 + x)) + (2x + -30) = 180 ((25 * 2 + x * 2)) + (2x + -30) = 180 ((50 + 2x)) + (2x + -30) = 180 (50 + 2x) + (2x + -30) = 180 Remove parenthesis around (50 + 2x) 50 + 2x + (2x + -30) = 180 Reorder the terms: 50 + 2x + (-30 + 2x) = 180 Remove parenthesis around (-30 + 2x) 50 + 2x + -30 + 2x = 180 Reorder the terms: 50 + -30 + 2x + 2x = 180 Combine like terms: 50 + -30 = 20 20 + 2x + 2x = 180 Combine like terms: 2x + 2x = 4x 20 + 4x = 180 Solving 20 + 4x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 4x = 180 + -20 Combine like terms: 20 + -20 = 0 0 + 4x = 180 + -20 4x = 180 + -20 Combine like terms: 180 + -20 = 160 4x = 160 Divide each side by '4'. x = 40 Simplifying x = 40
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