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Simplifying 75 = x + (3 + -1x) + x + (4 + -2x) Remove parenthesis around (3 + -1x) 75 = x + 3 + -1x + x + (4 + -2x) Remove parenthesis around (4 + -2x) 75 = x + 3 + -1x + x + 4 + -2x Reorder the terms: 75 = 3 + 4 + x + -1x + x + -2x Combine like terms: 3 + 4 = 7 75 = 7 + x + -1x + x + -2x Combine like terms: x + -1x = 0 75 = 7 + 0 + x + -2x 75 = 7 + x + -2x Combine like terms: x + -2x = -1x 75 = 7 + -1x Solving 75 = 7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 75 + x = 7 + -1x + x Combine like terms: -1x + x = 0 75 + x = 7 + 0 75 + x = 7 Add '-75' to each side of the equation. 75 + -75 + x = 7 + -75 Combine like terms: 75 + -75 = 0 0 + x = 7 + -75 x = 7 + -75 Combine like terms: 7 + -75 = -68 x = -68 Simplifying x = -68
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