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Simplifying 2(6x + 6) + -1(12x + -18) = 36 + -12 + -18x + 12 Reorder the terms: 2(6 + 6x) + -1(12x + -18) = 36 + -12 + -18x + 12 (6 * 2 + 6x * 2) + -1(12x + -18) = 36 + -12 + -18x + 12 (12 + 12x) + -1(12x + -18) = 36 + -12 + -18x + 12 Reorder the terms: 12 + 12x + -1(-18 + 12x) = 36 + -12 + -18x + 12 12 + 12x + (-18 * -1 + 12x * -1) = 36 + -12 + -18x + 12 12 + 12x + (18 + -12x) = 36 + -12 + -18x + 12 Reorder the terms: 12 + 18 + 12x + -12x = 36 + -12 + -18x + 12 Combine like terms: 12 + 18 = 30 30 + 12x + -12x = 36 + -12 + -18x + 12 Combine like terms: 12x + -12x = 0 30 + 0 = 36 + -12 + -18x + 12 30 = 36 + -12 + -18x + 12 Reorder the terms: 30 = 36 + -12 + 12 + -18x Combine like terms: 36 + -12 = 24 30 = 24 + 12 + -18x Combine like terms: 24 + 12 = 36 30 = 36 + -18x Solving 30 = 36 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 30 + 18x = 36 + -18x + 18x Combine like terms: -18x + 18x = 0 30 + 18x = 36 + 0 30 + 18x = 36 Add '-30' to each side of the equation. 30 + -30 + 18x = 36 + -30 Combine like terms: 30 + -30 = 0 0 + 18x = 36 + -30 18x = 36 + -30 Combine like terms: 36 + -30 = 6 18x = 6 Divide each side by '18'. x = 0.3333333333 Simplifying x = 0.3333333333
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