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Simplifying x + (x + 5) + (x + -7) = 52 Reorder the terms: x + (5 + x) + (x + -7) = 52 Remove parenthesis around (5 + x) x + 5 + x + (x + -7) = 52 Reorder the terms: x + 5 + x + (-7 + x) = 52 Remove parenthesis around (-7 + x) x + 5 + x + -7 + x = 52 Reorder the terms: 5 + -7 + x + x + x = 52 Combine like terms: 5 + -7 = -2 -2 + x + x + x = 52 Combine like terms: x + x = 2x -2 + 2x + x = 52 Combine like terms: 2x + x = 3x -2 + 3x = 52 Solving -2 + 3x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3x = 52 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 52 + 2 3x = 52 + 2 Combine like terms: 52 + 2 = 54 3x = 54 Divide each side by '3'. x = 18 Simplifying x = 18
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