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Simplifying 3(5x + 3) = 13(5x + -7) Reorder the terms: 3(3 + 5x) = 13(5x + -7) (3 * 3 + 5x * 3) = 13(5x + -7) (9 + 15x) = 13(5x + -7) Reorder the terms: 9 + 15x = 13(-7 + 5x) 9 + 15x = (-7 * 13 + 5x * 13) 9 + 15x = (-91 + 65x) Solving 9 + 15x = -91 + 65x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-65x' to each side of the equation. 9 + 15x + -65x = -91 + 65x + -65x Combine like terms: 15x + -65x = -50x 9 + -50x = -91 + 65x + -65x Combine like terms: 65x + -65x = 0 9 + -50x = -91 + 0 9 + -50x = -91 Add '-9' to each side of the equation. 9 + -9 + -50x = -91 + -9 Combine like terms: 9 + -9 = 0 0 + -50x = -91 + -9 -50x = -91 + -9 Combine like terms: -91 + -9 = -100 -50x = -100 Divide each side by '-50'. x = 2 Simplifying x = 2
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