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Simplifying x + 2(2x + -4) = 2x + -1(x) Reorder the terms: x + 2(-4 + 2x) = 2x + -1(x) x + (-4 * 2 + 2x * 2) = 2x + -1(x) x + (-8 + 4x) = 2x + -1(x) Reorder the terms: -8 + x + 4x = 2x + -1(x) Combine like terms: x + 4x = 5x -8 + 5x = 2x + -1(x) Combine like terms: 2x + -1x = 1x -8 + 5x = 1x Solving -8 + 5x = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -8 + 5x + -1x = 1x + -1x Combine like terms: 5x + -1x = 4x -8 + 4x = 1x + -1x Combine like terms: 1x + -1x = 0 -8 + 4x = 0 Add '8' to each side of the equation. -8 + 8 + 4x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 0 + 8 4x = 0 + 8 Combine like terms: 0 + 8 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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