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Simplifying 6(3 + -1x) = 5(x + -1) (3 * 6 + -1x * 6) = 5(x + -1) (18 + -6x) = 5(x + -1) Reorder the terms: 18 + -6x = 5(-1 + x) 18 + -6x = (-1 * 5 + x * 5) 18 + -6x = (-5 + 5x) Solving 18 + -6x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 18 + -6x + -5x = -5 + 5x + -5x Combine like terms: -6x + -5x = -11x 18 + -11x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + -11x = -5 + 0 18 + -11x = -5 Add '-18' to each side of the equation. 18 + -18 + -11x = -5 + -18 Combine like terms: 18 + -18 = 0 0 + -11x = -5 + -18 -11x = -5 + -18 Combine like terms: -5 + -18 = -23 -11x = -23 Divide each side by '-11'. x = 2.090909091 Simplifying x = 2.090909091
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