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Simplifying 2(x + -2) = -4(x + 4) Reorder the terms: 2(-2 + x) = -4(x + 4) (-2 * 2 + x * 2) = -4(x + 4) (-4 + 2x) = -4(x + 4) Reorder the terms: -4 + 2x = -4(4 + x) -4 + 2x = (4 * -4 + x * -4) -4 + 2x = (-16 + -4x) Solving -4 + 2x = -16 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -4 + 2x + 4x = -16 + -4x + 4x Combine like terms: 2x + 4x = 6x -4 + 6x = -16 + -4x + 4x Combine like terms: -4x + 4x = 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 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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