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Simplifying 2(x + -4) = 12 + -2x Reorder the terms: 2(-4 + x) = 12 + -2x (-4 * 2 + x * 2) = 12 + -2x (-8 + 2x) = 12 + -2x Solving -8 + 2x = 12 + -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 = 12 + -2x + 2x Combine like terms: 2x + 2x = 4x -8 + 4x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 4x = 12 + 0 -8 + 4x = 12 Add '8' to each side of the equation. -8 + 8 + 4x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 12 + 8 4x = 12 + 8 Combine like terms: 12 + 8 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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