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Simplifying 6(9 + -1x) = 5(x + 6) (9 * 6 + -1x * 6) = 5(x + 6) (54 + -6x) = 5(x + 6) Reorder the terms: 54 + -6x = 5(6 + x) 54 + -6x = (6 * 5 + x * 5) 54 + -6x = (30 + 5x) Solving 54 + -6x = 30 + 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. 54 + -6x + -5x = 30 + 5x + -5x Combine like terms: -6x + -5x = -11x 54 + -11x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 54 + -11x = 30 + 0 54 + -11x = 30 Add '-54' to each side of the equation. 54 + -54 + -11x = 30 + -54 Combine like terms: 54 + -54 = 0 0 + -11x = 30 + -54 -11x = 30 + -54 Combine like terms: 30 + -54 = -24 -11x = -24 Divide each side by '-11'. x = 2.181818182 Simplifying x = 2.181818182
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