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Simplifying 6(3 + -3x) = 16 + -13(1 + -2x) (3 * 6 + -3x * 6) = 16 + -13(1 + -2x) (18 + -18x) = 16 + -13(1 + -2x) 18 + -18x = 16 + (1 * -13 + -2x * -13) 18 + -18x = 16 + (-13 + 26x) Combine like terms: 16 + -13 = 3 18 + -18x = 3 + 26x Solving 18 + -18x = 3 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 18 + -18x + -26x = 3 + 26x + -26x Combine like terms: -18x + -26x = -44x 18 + -44x = 3 + 26x + -26x Combine like terms: 26x + -26x = 0 18 + -44x = 3 + 0 18 + -44x = 3 Add '-18' to each side of the equation. 18 + -18 + -44x = 3 + -18 Combine like terms: 18 + -18 = 0 0 + -44x = 3 + -18 -44x = 3 + -18 Combine like terms: 3 + -18 = -15 -44x = -15 Divide each side by '-44'. x = 0.3409090909 Simplifying x = 0.3409090909
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