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Simplifying 15(2x + -4) = 13(2x + 5) Reorder the terms: 15(-4 + 2x) = 13(2x + 5) (-4 * 15 + 2x * 15) = 13(2x + 5) (-60 + 30x) = 13(2x + 5) Reorder the terms: -60 + 30x = 13(5 + 2x) -60 + 30x = (5 * 13 + 2x * 13) -60 + 30x = (65 + 26x) Solving -60 + 30x = 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. -60 + 30x + -26x = 65 + 26x + -26x Combine like terms: 30x + -26x = 4x -60 + 4x = 65 + 26x + -26x Combine like terms: 26x + -26x = 0 -60 + 4x = 65 + 0 -60 + 4x = 65 Add '60' to each side of the equation. -60 + 60 + 4x = 65 + 60 Combine like terms: -60 + 60 = 0 0 + 4x = 65 + 60 4x = 65 + 60 Combine like terms: 65 + 60 = 125 4x = 125 Divide each side by '4'. x = 31.25 Simplifying x = 31.25
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