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