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Simplifying (5x + -100) + (1x + -20) = 180 Reorder the terms: (-100 + 5x) + (1x + -20) = 180 Remove parenthesis around (-100 + 5x) -100 + 5x + (1x + -20) = 180 Reorder the terms: -100 + 5x + (-20 + 1x) = 180 Remove parenthesis around (-20 + 1x) -100 + 5x + -20 + 1x = 180 Reorder the terms: -100 + -20 + 5x + 1x = 180 Combine like terms: -100 + -20 = -120 -120 + 5x + 1x = 180 Combine like terms: 5x + 1x = 6x -120 + 6x = 180 Solving -120 + 6x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '120' to each side of the equation. -120 + 120 + 6x = 180 + 120 Combine like terms: -120 + 120 = 0 0 + 6x = 180 + 120 6x = 180 + 120 Combine like terms: 180 + 120 = 300 6x = 300 Divide each side by '6'. x = 50 Simplifying x = 50
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