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