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Simplifying 6(x + -4) + 4(5x + 15) = 15(4 + -3x) Reorder the terms: 6(-4 + x) + 4(5x + 15) = 15(4 + -3x) (-4 * 6 + x * 6) + 4(5x + 15) = 15(4 + -3x) (-24 + 6x) + 4(5x + 15) = 15(4 + -3x) Reorder the terms: -24 + 6x + 4(15 + 5x) = 15(4 + -3x) -24 + 6x + (15 * 4 + 5x * 4) = 15(4 + -3x) -24 + 6x + (60 + 20x) = 15(4 + -3x) Reorder the terms: -24 + 60 + 6x + 20x = 15(4 + -3x) Combine like terms: -24 + 60 = 36 36 + 6x + 20x = 15(4 + -3x) Combine like terms: 6x + 20x = 26x 36 + 26x = 15(4 + -3x) 36 + 26x = (4 * 15 + -3x * 15) 36 + 26x = (60 + -45x) Solving 36 + 26x = 60 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. 36 + 26x + 45x = 60 + -45x + 45x Combine like terms: 26x + 45x = 71x 36 + 71x = 60 + -45x + 45x Combine like terms: -45x + 45x = 0 36 + 71x = 60 + 0 36 + 71x = 60 Add '-36' to each side of the equation. 36 + -36 + 71x = 60 + -36 Combine like terms: 36 + -36 = 0 0 + 71x = 60 + -36 71x = 60 + -36 Combine like terms: 60 + -36 = 24 71x = 24 Divide each side by '71'. x = 0.338028169 Simplifying x = 0.338028169
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