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Simplifying 2(x + -2) = 4(2x + 4) Reorder the terms: 2(-2 + x) = 4(2x + 4) (-2 * 2 + x * 2) = 4(2x + 4) (-4 + 2x) = 4(2x + 4) Reorder the terms: -4 + 2x = 4(4 + 2x) -4 + 2x = (4 * 4 + 2x * 4) -4 + 2x = (16 + 8x) Solving -4 + 2x = 16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -4 + 2x + -8x = 16 + 8x + -8x Combine like terms: 2x + -8x = -6x -4 + -6x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + -6x = 16 + 0 -4 + -6x = 16 Add '4' to each side of the equation. -4 + 4 + -6x = 16 + 4 Combine like terms: -4 + 4 = 0 0 + -6x = 16 + 4 -6x = 16 + 4 Combine like terms: 16 + 4 = 20 -6x = 20 Divide each side by '-6'. x = -3.333333333 Simplifying x = -3.333333333
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