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Simplifying (x + -7) + (x + 5) + (x + -12) = 61 Reorder the terms: (-7 + x) + (x + 5) + (x + -12) = 61 Remove parenthesis around (-7 + x) -7 + x + (x + 5) + (x + -12) = 61 Reorder the terms: -7 + x + (5 + x) + (x + -12) = 61 Remove parenthesis around (5 + x) -7 + x + 5 + x + (x + -12) = 61 Reorder the terms: -7 + x + 5 + x + (-12 + x) = 61 Remove parenthesis around (-12 + x) -7 + x + 5 + x + -12 + x = 61 Reorder the terms: -7 + 5 + -12 + x + x + x = 61 Combine like terms: -7 + 5 = -2 -2 + -12 + x + x + x = 61 Combine like terms: -2 + -12 = -14 -14 + x + x + x = 61 Combine like terms: x + x = 2x -14 + 2x + x = 61 Combine like terms: 2x + x = 3x -14 + 3x = 61 Solving -14 + 3x = 61 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 3x = 61 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = 61 + 14 3x = 61 + 14 Combine like terms: 61 + 14 = 75 3x = 75 Divide each side by '3'. x = 25 Simplifying x = 25
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