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Simplifying 3(2x + 10) + 12x + 12 = 180 Reorder the terms: 3(10 + 2x) + 12x + 12 = 180 (10 * 3 + 2x * 3) + 12x + 12 = 180 (30 + 6x) + 12x + 12 = 180 Reorder the terms: 30 + 12 + 6x + 12x = 180 Combine like terms: 30 + 12 = 42 42 + 6x + 12x = 180 Combine like terms: 6x + 12x = 18x 42 + 18x = 180 Solving 42 + 18x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 18x = 180 + -42 Combine like terms: 42 + -42 = 0 0 + 18x = 180 + -42 18x = 180 + -42 Combine like terms: 180 + -42 = 138 18x = 138 Divide each side by '18'. x = 7.666666667 Simplifying x = 7.666666667
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