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Simplifying 2(x + -4) = 2(12 + -1x) Reorder the terms: 2(-4 + x) = 2(12 + -1x) (-4 * 2 + x * 2) = 2(12 + -1x) (-8 + 2x) = 2(12 + -1x) -8 + 2x = (12 * 2 + -1x * 2) -8 + 2x = (24 + -2x) Solving -8 + 2x = 24 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -8 + 2x + 2x = 24 + -2x + 2x Combine like terms: 2x + 2x = 4x -8 + 4x = 24 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 4x = 24 + 0 -8 + 4x = 24 Add '8' to each side of the equation. -8 + 8 + 4x = 24 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 24 + 8 4x = 24 + 8 Combine like terms: 24 + 8 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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