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Simplifying (7 + -1x) + 5 = x + 7 Remove parenthesis around (7 + -1x) 7 + -1x + 5 = x + 7 Reorder the terms: 7 + 5 + -1x = x + 7 Combine like terms: 7 + 5 = 12 12 + -1x = x + 7 Reorder the terms: 12 + -1x = 7 + x Solving 12 + -1x = 7 + 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. 12 + -1x + -1x = 7 + x + -1x Combine like terms: -1x + -1x = -2x 12 + -2x = 7 + x + -1x Combine like terms: x + -1x = 0 12 + -2x = 7 + 0 12 + -2x = 7 Add '-12' to each side of the equation. 12 + -12 + -2x = 7 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 7 + -12 -2x = 7 + -12 Combine like terms: 7 + -12 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5
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