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Simplifying 3(2x + -4) = 2(4 + -5x) Reorder the terms: 3(-4 + 2x) = 2(4 + -5x) (-4 * 3 + 2x * 3) = 2(4 + -5x) (-12 + 6x) = 2(4 + -5x) -12 + 6x = (4 * 2 + -5x * 2) -12 + 6x = (8 + -10x) Solving -12 + 6x = 8 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -12 + 6x + 10x = 8 + -10x + 10x Combine like terms: 6x + 10x = 16x -12 + 16x = 8 + -10x + 10x Combine like terms: -10x + 10x = 0 -12 + 16x = 8 + 0 -12 + 16x = 8 Add '12' to each side of the equation. -12 + 12 + 16x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 16x = 8 + 12 16x = 8 + 12 Combine like terms: 8 + 12 = 20 16x = 20 Divide each side by '16'. x = 1.25 Simplifying x = 1.25
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