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Simplifying 6(2x + -4) = 4(4x + 8) Reorder the terms: 6(-4 + 2x) = 4(4x + 8) (-4 * 6 + 2x * 6) = 4(4x + 8) (-24 + 12x) = 4(4x + 8) Reorder the terms: -24 + 12x = 4(8 + 4x) -24 + 12x = (8 * 4 + 4x * 4) -24 + 12x = (32 + 16x) Solving -24 + 12x = 32 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -24 + 12x + -16x = 32 + 16x + -16x Combine like terms: 12x + -16x = -4x -24 + -4x = 32 + 16x + -16x Combine like terms: 16x + -16x = 0 -24 + -4x = 32 + 0 -24 + -4x = 32 Add '24' to each side of the equation. -24 + 24 + -4x = 32 + 24 Combine like terms: -24 + 24 = 0 0 + -4x = 32 + 24 -4x = 32 + 24 Combine like terms: 32 + 24 = 56 -4x = 56 Divide each side by '-4'. x = -14 Simplifying x = -14
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