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Simplifying (75 + -1x) + (x) + (55 + -1x) + 10 = 100 Remove parenthesis around (75 + -1x) 75 + -1x + (x) + (55 + -1x) + 10 = 100 75 + -1x + x + (55 + -1x) + 10 = 100 Remove parenthesis around (55 + -1x) 75 + -1x + x + 55 + -1x + 10 = 100 Reorder the terms: 75 + 55 + 10 + -1x + x + -1x = 100 Combine like terms: 75 + 55 = 130 130 + 10 + -1x + x + -1x = 100 Combine like terms: 130 + 10 = 140 140 + -1x + x + -1x = 100 Combine like terms: -1x + x = 0 140 + 0 + -1x = 100 140 + -1x = 100 Solving 140 + -1x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-140' to each side of the equation. 140 + -140 + -1x = 100 + -140 Combine like terms: 140 + -140 = 0 0 + -1x = 100 + -140 -1x = 100 + -140 Combine like terms: 100 + -140 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40
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