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Simplifying (x + -60) + (x + -45) = x + 10 Reorder the terms: (-60 + x) + (x + -45) = x + 10 Remove parenthesis around (-60 + x) -60 + x + (x + -45) = x + 10 Reorder the terms: -60 + x + (-45 + x) = x + 10 Remove parenthesis around (-45 + x) -60 + x + -45 + x = x + 10 Reorder the terms: -60 + -45 + x + x = x + 10 Combine like terms: -60 + -45 = -105 -105 + x + x = x + 10 Combine like terms: x + x = 2x -105 + 2x = x + 10 Reorder the terms: -105 + 2x = 10 + x Solving -105 + 2x = 10 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -105 + 2x + -1x = 10 + x + -1x Combine like terms: 2x + -1x = 1x -105 + 1x = 10 + x + -1x Combine like terms: x + -1x = 0 -105 + 1x = 10 + 0 -105 + 1x = 10 Add '105' to each side of the equation. -105 + 105 + 1x = 10 + 105 Combine like terms: -105 + 105 = 0 0 + 1x = 10 + 105 1x = 10 + 105 Combine like terms: 10 + 105 = 115 1x = 115 Divide each side by '1'. x = 115 Simplifying x = 115
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