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Simplifying (x + 12) + (6x) + 2(x + 12) = 180 Reorder the terms: (12 + x) + (6x) + 2(x + 12) = 180 Remove parenthesis around (12 + x) 12 + x + (6x) + 2(x + 12) = 180 Reorder the terms: 12 + x + (6x) + 2(12 + x) = 180 12 + x + (6x) + (12 * 2 + x * 2) = 180 12 + x + (6x) + (24 + 2x) = 180 Reorder the terms: 12 + 24 + x + (6x) + 2x = 180 Combine like terms: 12 + 24 = 36 36 + x + (6x) + 2x = 180 Combine like terms: x + (6x) = 7x 36 + 7x + 2x = 180 Combine like terms: 7x + 2x = 9x 36 + 9x = 180 Solving 36 + 9x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 9x = 180 + -36 Combine like terms: 36 + -36 = 0 0 + 9x = 180 + -36 9x = 180 + -36 Combine like terms: 180 + -36 = 144 9x = 144 Divide each side by '9'. x = 16 Simplifying x = 16
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