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Simplifying -4(2x + 4) = 4(-1x + -6) Reorder the terms: -4(4 + 2x) = 4(-1x + -6) (4 * -4 + 2x * -4) = 4(-1x + -6) (-16 + -8x) = 4(-1x + -6) Reorder the terms: -16 + -8x = 4(-6 + -1x) -16 + -8x = (-6 * 4 + -1x * 4) -16 + -8x = (-24 + -4x) Solving -16 + -8x = -24 + -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. -16 + -8x + 4x = -24 + -4x + 4x Combine like terms: -8x + 4x = -4x -16 + -4x = -24 + -4x + 4x Combine like terms: -4x + 4x = 0 -16 + -4x = -24 + 0 -16 + -4x = -24 Add '16' to each side of the equation. -16 + 16 + -4x = -24 + 16 Combine like terms: -16 + 16 = 0 0 + -4x = -24 + 16 -4x = -24 + 16 Combine like terms: -24 + 16 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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