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Simplifying 3(1 + -2x) = 5(x + 5) (1 * 3 + -2x * 3) = 5(x + 5) (3 + -6x) = 5(x + 5) Reorder the terms: 3 + -6x = 5(5 + x) 3 + -6x = (5 * 5 + x * 5) 3 + -6x = (25 + 5x) Solving 3 + -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. 3 + -6x + -5x = 25 + 5x + -5x Combine like terms: -6x + -5x = -11x 3 + -11x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + -11x = 25 + 0 3 + -11x = 25 Add '-3' to each side of the equation. 3 + -3 + -11x = 25 + -3 Combine like terms: 3 + -3 = 0 0 + -11x = 25 + -3 -11x = 25 + -3 Combine like terms: 25 + -3 = 22 -11x = 22 Divide each side by '-11'. x = -2 Simplifying x = -2
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