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Simplifying 2(2x + -4) + -1x = 2 + -2x Reorder the terms: 2(-4 + 2x) + -1x = 2 + -2x (-4 * 2 + 2x * 2) + -1x = 2 + -2x (-8 + 4x) + -1x = 2 + -2x Combine like terms: 4x + -1x = 3x -8 + 3x = 2 + -2x Solving -8 + 3x = 2 + -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 + 3x + 2x = 2 + -2x + 2x Combine like terms: 3x + 2x = 5x -8 + 5x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 5x = 2 + 0 -8 + 5x = 2 Add '8' to each side of the equation. -8 + 8 + 5x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = 2 + 8 5x = 2 + 8 Combine like terms: 2 + 8 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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