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Simplifying 6(2x + -4) = 5(8 + 2x) Reorder the terms: 6(-4 + 2x) = 5(8 + 2x) (-4 * 6 + 2x * 6) = 5(8 + 2x) (-24 + 12x) = 5(8 + 2x) -24 + 12x = (8 * 5 + 2x * 5) -24 + 12x = (40 + 10x) Solving -24 + 12x = 40 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -24 + 12x + -10x = 40 + 10x + -10x Combine like terms: 12x + -10x = 2x -24 + 2x = 40 + 10x + -10x Combine like terms: 10x + -10x = 0 -24 + 2x = 40 + 0 -24 + 2x = 40 Add '24' to each side of the equation. -24 + 24 + 2x = 40 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = 40 + 24 2x = 40 + 24 Combine like terms: 40 + 24 = 64 2x = 64 Divide each side by '2'. x = 32 Simplifying x = 32
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