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Simplifying 2(5x + -4) = -3(2x + -8) Reorder the terms: 2(-4 + 5x) = -3(2x + -8) (-4 * 2 + 5x * 2) = -3(2x + -8) (-8 + 10x) = -3(2x + -8) Reorder the terms: -8 + 10x = -3(-8 + 2x) -8 + 10x = (-8 * -3 + 2x * -3) -8 + 10x = (24 + -6x) Solving -8 + 10x = 24 + -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 = 24 + -6x + 6x Combine like terms: 10x + 6x = 16x -8 + 16x = 24 + -6x + 6x Combine like terms: -6x + 6x = 0 -8 + 16x = 24 + 0 -8 + 16x = 24 Add '8' to each side of the equation. -8 + 8 + 16x = 24 + 8 Combine like terms: -8 + 8 = 0 0 + 16x = 24 + 8 16x = 24 + 8 Combine like terms: 24 + 8 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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