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