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Simplifying -4(x + 2) = -4(-2 + -1x) Reorder the terms: -4(2 + x) = -4(-2 + -1x) (2 * -4 + x * -4) = -4(-2 + -1x) (-8 + -4x) = -4(-2 + -1x) -8 + -4x = (-2 * -4 + -1x * -4) -8 + -4x = (8 + 4x) Solving -8 + -4x = 8 + 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. -8 + -4x + -4x = 8 + 4x + -4x Combine like terms: -4x + -4x = -8x -8 + -8x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + -8x = 8 + 0 -8 + -8x = 8 Add '8' to each side of the equation. -8 + 8 + -8x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -8x = 8 + 8 -8x = 8 + 8 Combine like terms: 8 + 8 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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