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Simplifying (x + 5 + -6) + (x + -6) = 51 Reorder the terms: (5 + -6 + x) + (x + -6) = 51 Combine like terms: 5 + -6 = -1 (-1 + x) + (x + -6) = 51 Remove parenthesis around (-1 + x) -1 + x + (x + -6) = 51 Reorder the terms: -1 + x + (-6 + x) = 51 Remove parenthesis around (-6 + x) -1 + x + -6 + x = 51 Reorder the terms: -1 + -6 + x + x = 51 Combine like terms: -1 + -6 = -7 -7 + x + x = 51 Combine like terms: x + x = 2x -7 + 2x = 51 Solving -7 + 2x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2x = 51 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 51 + 7 2x = 51 + 7 Combine like terms: 51 + 7 = 58 2x = 58 Divide each side by '2'. x = 29 Simplifying x = 29
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