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Simplifying x + (x + -32) = 78 Reorder the terms: x + (-32 + x) = 78 Remove parenthesis around (-32 + x) x + -32 + x = 78 Reorder the terms: -32 + x + x = 78 Combine like terms: x + x = 2x -32 + 2x = 78 Solving -32 + 2x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 2x = 78 + 32 Combine like terms: -32 + 32 = 0 0 + 2x = 78 + 32 2x = 78 + 32 Combine like terms: 78 + 32 = 110 2x = 110 Divide each side by '2'. x = 55 Simplifying x = 55
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