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Simplifying 3(2x + -8) = 2(2x + 4) + -12 Reorder the terms: 3(-8 + 2x) = 2(2x + 4) + -12 (-8 * 3 + 2x * 3) = 2(2x + 4) + -12 (-24 + 6x) = 2(2x + 4) + -12 Reorder the terms: -24 + 6x = 2(4 + 2x) + -12 -24 + 6x = (4 * 2 + 2x * 2) + -12 -24 + 6x = (8 + 4x) + -12 Reorder the terms: -24 + 6x = 8 + -12 + 4x Combine like terms: 8 + -12 = -4 -24 + 6x = -4 + 4x Solving -24 + 6x = -4 + 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 + 6x + -4x = -4 + 4x + -4x Combine like terms: 6x + -4x = 2x -24 + 2x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 -24 + 2x = -4 + 0 -24 + 2x = -4 Add '24' to each side of the equation. -24 + 24 + 2x = -4 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = -4 + 24 2x = -4 + 24 Combine like terms: -4 + 24 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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