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Simplifying 180 = (2x + -10) + (5x + -20) Reorder the terms: 180 = (-10 + 2x) + (5x + -20) Remove parenthesis around (-10 + 2x) 180 = -10 + 2x + (5x + -20) Reorder the terms: 180 = -10 + 2x + (-20 + 5x) Remove parenthesis around (-20 + 5x) 180 = -10 + 2x + -20 + 5x Reorder the terms: 180 = -10 + -20 + 2x + 5x Combine like terms: -10 + -20 = -30 180 = -30 + 2x + 5x Combine like terms: 2x + 5x = 7x 180 = -30 + 7x Solving 180 = -30 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 180 + -7x = -30 + 7x + -7x Combine like terms: 7x + -7x = 0 180 + -7x = -30 + 0 180 + -7x = -30 Add '-180' to each side of the equation. 180 + -180 + -7x = -30 + -180 Combine like terms: 180 + -180 = 0 0 + -7x = -30 + -180 -7x = -30 + -180 Combine like terms: -30 + -180 = -210 -7x = -210 Divide each side by '-7'. x = 30 Simplifying x = 30
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