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Simplifying 2(x + -2) + -1(2x + 4) = 2x Reorder the terms: 2(-2 + x) + -1(2x + 4) = 2x (-2 * 2 + x * 2) + -1(2x + 4) = 2x (-4 + 2x) + -1(2x + 4) = 2x Reorder the terms: -4 + 2x + -1(4 + 2x) = 2x -4 + 2x + (4 * -1 + 2x * -1) = 2x -4 + 2x + (-4 + -2x) = 2x Reorder the terms: -4 + -4 + 2x + -2x = 2x Combine like terms: -4 + -4 = -8 -8 + 2x + -2x = 2x Combine like terms: 2x + -2x = 0 -8 + 0 = 2x -8 = 2x Solving -8 = 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 + -2x Combine like terms: 2x + -2x = 0 -8 + -2x = 0 Add '8' to each side of the equation. -8 + 8 + -2x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = 0 + 8 -2x = 0 + 8 Combine like terms: 0 + 8 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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