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Simplifying x + (x + -7) + (x + -7 + -25) = 102 Reorder the terms: x + (-7 + x) + (x + -7 + -25) = 102 Remove parenthesis around (-7 + x) x + -7 + x + (x + -7 + -25) = 102 Reorder the terms: x + -7 + x + (-7 + -25 + x) = 102 Combine like terms: -7 + -25 = -32 x + -7 + x + (-32 + x) = 102 Remove parenthesis around (-32 + x) x + -7 + x + -32 + x = 102 Reorder the terms: -7 + -32 + x + x + x = 102 Combine like terms: -7 + -32 = -39 -39 + x + x + x = 102 Combine like terms: x + x = 2x -39 + 2x + x = 102 Combine like terms: 2x + x = 3x -39 + 3x = 102 Solving -39 + 3x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 3x = 102 + 39 Combine like terms: -39 + 39 = 0 0 + 3x = 102 + 39 3x = 102 + 39 Combine like terms: 102 + 39 = 141 3x = 141 Divide each side by '3'. x = 47 Simplifying x = 47
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