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Simplifying 6(3 + -1x) = 5(x + 14) (3 * 6 + -1x * 6) = 5(x + 14) (18 + -6x) = 5(x + 14) Reorder the terms: 18 + -6x = 5(14 + x) 18 + -6x = (14 * 5 + x * 5) 18 + -6x = (70 + 5x) Solving 18 + -6x = 70 + 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 = 70 + 5x + -5x Combine like terms: -6x + -5x = -11x 18 + -11x = 70 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + -11x = 70 + 0 18 + -11x = 70 Add '-18' to each side of the equation. 18 + -18 + -11x = 70 + -18 Combine like terms: 18 + -18 = 0 0 + -11x = 70 + -18 -11x = 70 + -18 Combine like terms: 70 + -18 = 52 -11x = 52 Divide each side by '-11'. x = -4.727272727 Simplifying x = -4.727272727
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