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Simplifying 15(3x + -2) = 13(2x + 5) Reorder the terms: 15(-2 + 3x) = 13(2x + 5) (-2 * 15 + 3x * 15) = 13(2x + 5) (-30 + 45x) = 13(2x + 5) Reorder the terms: -30 + 45x = 13(5 + 2x) -30 + 45x = (5 * 13 + 2x * 13) -30 + 45x = (65 + 26x) Solving -30 + 45x = 65 + 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. -30 + 45x + -26x = 65 + 26x + -26x Combine like terms: 45x + -26x = 19x -30 + 19x = 65 + 26x + -26x Combine like terms: 26x + -26x = 0 -30 + 19x = 65 + 0 -30 + 19x = 65 Add '30' to each side of the equation. -30 + 30 + 19x = 65 + 30 Combine like terms: -30 + 30 = 0 0 + 19x = 65 + 30 19x = 65 + 30 Combine like terms: 65 + 30 = 95 19x = 95 Divide each side by '19'. x = 5 Simplifying x = 5
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