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Simplifying -2(x + 2) = 4(x + -2) + -8 Reorder the terms: -2(2 + x) = 4(x + -2) + -8 (2 * -2 + x * -2) = 4(x + -2) + -8 (-4 + -2x) = 4(x + -2) + -8 Reorder the terms: -4 + -2x = 4(-2 + x) + -8 -4 + -2x = (-2 * 4 + x * 4) + -8 -4 + -2x = (-8 + 4x) + -8 Reorder the terms: -4 + -2x = -8 + -8 + 4x Combine like terms: -8 + -8 = -16 -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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