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Simplifying (x + -12) + (2x + -8) = 13 Reorder the terms: (-12 + x) + (2x + -8) = 13 Remove parenthesis around (-12 + x) -12 + x + (2x + -8) = 13 Reorder the terms: -12 + x + (-8 + 2x) = 13 Remove parenthesis around (-8 + 2x) -12 + x + -8 + 2x = 13 Reorder the terms: -12 + -8 + x + 2x = 13 Combine like terms: -12 + -8 = -20 -20 + x + 2x = 13 Combine like terms: x + 2x = 3x -20 + 3x = 13 Solving -20 + 3x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 3x = 13 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = 13 + 20 3x = 13 + 20 Combine like terms: 13 + 20 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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