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Simplifying 3(2 + -6x) = 18(2 + 5x) (2 * 3 + -6x * 3) = 18(2 + 5x) (6 + -18x) = 18(2 + 5x) 6 + -18x = (2 * 18 + 5x * 18) 6 + -18x = (36 + 90x) Solving 6 + -18x = 36 + 90x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90x' to each side of the equation. 6 + -18x + -90x = 36 + 90x + -90x Combine like terms: -18x + -90x = -108x 6 + -108x = 36 + 90x + -90x Combine like terms: 90x + -90x = 0 6 + -108x = 36 + 0 6 + -108x = 36 Add '-6' to each side of the equation. 6 + -6 + -108x = 36 + -6 Combine like terms: 6 + -6 = 0 0 + -108x = 36 + -6 -108x = 36 + -6 Combine like terms: 36 + -6 = 30 -108x = 30 Divide each side by '-108'. x = -0.2777777778 Simplifying x = -0.2777777778
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