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Simplifying 2(1 + -3x) = 5(x + -5) (1 * 2 + -3x * 2) = 5(x + -5) (2 + -6x) = 5(x + -5) Reorder the terms: 2 + -6x = 5(-5 + x) 2 + -6x = (-5 * 5 + x * 5) 2 + -6x = (-25 + 5x) Solving 2 + -6x = -25 + 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. 2 + -6x + -5x = -25 + 5x + -5x Combine like terms: -6x + -5x = -11x 2 + -11x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -11x = -25 + 0 2 + -11x = -25 Add '-2' to each side of the equation. 2 + -2 + -11x = -25 + -2 Combine like terms: 2 + -2 = 0 0 + -11x = -25 + -2 -11x = -25 + -2 Combine like terms: -25 + -2 = -27 -11x = -27 Divide each side by '-11'. x = 2.454545455 Simplifying x = 2.454545455
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