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Simplifying 2(3x + -4) = 4(8 + -1x) Reorder the terms: 2(-4 + 3x) = 4(8 + -1x) (-4 * 2 + 3x * 2) = 4(8 + -1x) (-8 + 6x) = 4(8 + -1x) -8 + 6x = (8 * 4 + -1x * 4) -8 + 6x = (32 + -4x) Solving -8 + 6x = 32 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -8 + 6x + 4x = 32 + -4x + 4x Combine like terms: 6x + 4x = 10x -8 + 10x = 32 + -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 10x = 32 + 0 -8 + 10x = 32 Add '8' to each side of the equation. -8 + 8 + 10x = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = 32 + 8 10x = 32 + 8 Combine like terms: 32 + 8 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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