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Simplifying x + (2x + -8) + (3x + -12) = 82 Reorder the terms: x + (-8 + 2x) + (3x + -12) = 82 Remove parenthesis around (-8 + 2x) x + -8 + 2x + (3x + -12) = 82 Reorder the terms: x + -8 + 2x + (-12 + 3x) = 82 Remove parenthesis around (-12 + 3x) x + -8 + 2x + -12 + 3x = 82 Reorder the terms: -8 + -12 + x + 2x + 3x = 82 Combine like terms: -8 + -12 = -20 -20 + x + 2x + 3x = 82 Combine like terms: x + 2x = 3x -20 + 3x + 3x = 82 Combine like terms: 3x + 3x = 6x -20 + 6x = 82 Solving -20 + 6x = 82 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 + 6x = 82 + 20 Combine like terms: -20 + 20 = 0 0 + 6x = 82 + 20 6x = 82 + 20 Combine like terms: 82 + 20 = 102 6x = 102 Divide each side by '6'. x = 17 Simplifying x = 17
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