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Simplifying x + x + -7 + ((x + -7) + 2) = 51 Reorder the terms: x + x + -7 + ((-7 + x) + 2) = 51 Remove parenthesis around (-7 + x) x + x + -7 + (-7 + x + 2) = 51 Reorder the terms: x + x + -7 + (-7 + 2 + x) = 51 Combine like terms: -7 + 2 = -5 x + x + -7 + (-5 + x) = 51 Remove parenthesis around (-5 + x) x + x + -7 + -5 + x = 51 Reorder the terms: -7 + -5 + x + x + x = 51 Combine like terms: -7 + -5 = -12 -12 + x + x + x = 51 Combine like terms: x + x = 2x -12 + 2x + x = 51 Combine like terms: 2x + x = 3x -12 + 3x = 51 Solving -12 + 3x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 3x = 51 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 51 + 12 3x = 51 + 12 Combine like terms: 51 + 12 = 63 3x = 63 Divide each side by '3'. x = 21 Simplifying x = 21
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