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Simplifying 6(1 + -1x) = 5(3 + x) (1 * 6 + -1x * 6) = 5(3 + x) (6 + -6x) = 5(3 + x) 6 + -6x = (3 * 5 + x * 5) 6 + -6x = (15 + 5x) Solving 6 + -6x = 15 + 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. 6 + -6x + -5x = 15 + 5x + -5x Combine like terms: -6x + -5x = -11x 6 + -11x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -11x = 15 + 0 6 + -11x = 15 Add '-6' to each side of the equation. 6 + -6 + -11x = 15 + -6 Combine like terms: 6 + -6 = 0 0 + -11x = 15 + -6 -11x = 15 + -6 Combine like terms: 15 + -6 = 9 -11x = 9 Divide each side by '-11'. x = -0.8181818182 Simplifying x = -0.8181818182
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