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Simplifying (180 + -1x) = 5(90 + -1x) + 50 Remove parenthesis around (180 + -1x) 180 + -1x = 5(90 + -1x) + 50 180 + -1x = (90 * 5 + -1x * 5) + 50 180 + -1x = (450 + -5x) + 50 Reorder the terms: 180 + -1x = 450 + 50 + -5x Combine like terms: 450 + 50 = 500 180 + -1x = 500 + -5x Solving 180 + -1x = 500 + -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 + -1x + 5x = 500 + -5x + 5x Combine like terms: -1x + 5x = 4x 180 + 4x = 500 + -5x + 5x Combine like terms: -5x + 5x = 0 180 + 4x = 500 + 0 180 + 4x = 500 Add '-180' to each side of the equation. 180 + -180 + 4x = 500 + -180 Combine like terms: 180 + -180 = 0 0 + 4x = 500 + -180 4x = 500 + -180 Combine like terms: 500 + -180 = 320 4x = 320 Divide each side by '4'. x = 80 Simplifying x = 80
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