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Simplifying 2x + (x + 12) + (3x + -9) = 117 Reorder the terms: 2x + (12 + x) + (3x + -9) = 117 Remove parenthesis around (12 + x) 2x + 12 + x + (3x + -9) = 117 Reorder the terms: 2x + 12 + x + (-9 + 3x) = 117 Remove parenthesis around (-9 + 3x) 2x + 12 + x + -9 + 3x = 117 Reorder the terms: 12 + -9 + 2x + x + 3x = 117 Combine like terms: 12 + -9 = 3 3 + 2x + x + 3x = 117 Combine like terms: 2x + x = 3x 3 + 3x + 3x = 117 Combine like terms: 3x + 3x = 6x 3 + 6x = 117 Solving 3 + 6x = 117 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 6x = 117 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = 117 + -3 6x = 117 + -3 Combine like terms: 117 + -3 = 114 6x = 114 Divide each side by '6'. x = 19 Simplifying x = 19
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