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Simplifying 2(3x + -4) = 3(x + 5) Reorder the terms: 2(-4 + 3x) = 3(x + 5) (-4 * 2 + 3x * 2) = 3(x + 5) (-8 + 6x) = 3(x + 5) Reorder the terms: -8 + 6x = 3(5 + x) -8 + 6x = (5 * 3 + x * 3) -8 + 6x = (15 + 3x) Solving -8 + 6x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -8 + 6x + -3x = 15 + 3x + -3x Combine like terms: 6x + -3x = 3x -8 + 3x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 3x = 15 + 0 -8 + 3x = 15 Add '8' to each side of the equation. -8 + 8 + 3x = 15 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 15 + 8 3x = 15 + 8 Combine like terms: 15 + 8 = 23 3x = 23 Divide each side by '3'. x = 7.666666667 Simplifying x = 7.666666667
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