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Simplifying 40 + (180 + -50 + -1x) + (180 + -40 + -180 + -50 + -1x) = 180 Combine like terms: 180 + -50 = 130 40 + (130 + -1x) + (180 + -40 + -180 + -50 + -1x) = 180 Remove parenthesis around (130 + -1x) 40 + 130 + -1x + (180 + -40 + -180 + -50 + -1x) = 180 Combine like terms: 180 + -40 = 140 40 + 130 + -1x + (140 + -180 + -50 + -1x) = 180 Combine like terms: 140 + -180 = -40 40 + 130 + -1x + (-40 + -50 + -1x) = 180 Combine like terms: -40 + -50 = -90 40 + 130 + -1x + (-90 + -1x) = 180 Remove parenthesis around (-90 + -1x) 40 + 130 + -1x + -90 + -1x = 180 Reorder the terms: 40 + 130 + -90 + -1x + -1x = 180 Combine like terms: 40 + 130 = 170 170 + -90 + -1x + -1x = 180 Combine like terms: 170 + -90 = 80 80 + -1x + -1x = 180 Combine like terms: -1x + -1x = -2x 80 + -2x = 180 Solving 80 + -2x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + -2x = 180 + -80 Combine like terms: 80 + -80 = 0 0 + -2x = 180 + -80 -2x = 180 + -80 Combine like terms: 180 + -80 = 100 -2x = 100 Divide each side by '-2'. x = -50 Simplifying x = -50
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