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Simplifying 2(5x + 3) = 13(3x + -4) Reorder the terms: 2(3 + 5x) = 13(3x + -4) (3 * 2 + 5x * 2) = 13(3x + -4) (6 + 10x) = 13(3x + -4) Reorder the terms: 6 + 10x = 13(-4 + 3x) 6 + 10x = (-4 * 13 + 3x * 13) 6 + 10x = (-52 + 39x) Solving 6 + 10x = -52 + 39x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39x' to each side of the equation. 6 + 10x + -39x = -52 + 39x + -39x Combine like terms: 10x + -39x = -29x 6 + -29x = -52 + 39x + -39x Combine like terms: 39x + -39x = 0 6 + -29x = -52 + 0 6 + -29x = -52 Add '-6' to each side of the equation. 6 + -6 + -29x = -52 + -6 Combine like terms: 6 + -6 = 0 0 + -29x = -52 + -6 -29x = -52 + -6 Combine like terms: -52 + -6 = -58 -29x = -58 Divide each side by '-29'. x = 2 Simplifying x = 2
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