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