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Simplifying 5(3x + 1) = 2(13x + -3) Reorder the terms: 5(1 + 3x) = 2(13x + -3) (1 * 5 + 3x * 5) = 2(13x + -3) (5 + 15x) = 2(13x + -3) Reorder the terms: 5 + 15x = 2(-3 + 13x) 5 + 15x = (-3 * 2 + 13x * 2) 5 + 15x = (-6 + 26x) Solving 5 + 15x = -6 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 5 + 15x + -26x = -6 + 26x + -26x Combine like terms: 15x + -26x = -11x 5 + -11x = -6 + 26x + -26x Combine like terms: 26x + -26x = 0 5 + -11x = -6 + 0 5 + -11x = -6 Add '-5' to each side of the equation. 5 + -5 + -11x = -6 + -5 Combine like terms: 5 + -5 = 0 0 + -11x = -6 + -5 -11x = -6 + -5 Combine like terms: -6 + -5 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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