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Simplifying 180 = 3x + -100 + (x + -10) + (x + -10) Reorder the terms: 180 = 3x + -100 + (-10 + x) + (x + -10) Remove parenthesis around (-10 + x) 180 = 3x + -100 + -10 + x + (x + -10) Reorder the terms: 180 = 3x + -100 + -10 + x + (-10 + x) Remove parenthesis around (-10 + x) 180 = 3x + -100 + -10 + x + -10 + x Reorder the terms: 180 = -100 + -10 + -10 + 3x + x + x Combine like terms: -100 + -10 = -110 180 = -110 + -10 + 3x + x + x Combine like terms: -110 + -10 = -120 180 = -120 + 3x + x + x Combine like terms: 3x + x = 4x 180 = -120 + 4x + x Combine like terms: 4x + x = 5x 180 = -120 + 5x Solving 180 = -120 + 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 = -120 + 5x + -5x Combine like terms: 5x + -5x = 0 180 + -5x = -120 + 0 180 + -5x = -120 Add '-180' to each side of the equation. 180 + -180 + -5x = -120 + -180 Combine like terms: 180 + -180 = 0 0 + -5x = -120 + -180 -5x = -120 + -180 Combine like terms: -120 + -180 = -300 -5x = -300 Divide each side by '-5'. x = 60 Simplifying x = 60
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