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Simplifying 8(2 + -3x) = -4(2x + -4) (2 * 8 + -3x * 8) = -4(2x + -4) (16 + -24x) = -4(2x + -4) Reorder the terms: 16 + -24x = -4(-4 + 2x) 16 + -24x = (-4 * -4 + 2x * -4) 16 + -24x = (16 + -8x) Add '-16' to each side of the equation. 16 + -16 + -24x = 16 + -16 + -8x Combine like terms: 16 + -16 = 0 0 + -24x = 16 + -16 + -8x -24x = 16 + -16 + -8x Combine like terms: 16 + -16 = 0 -24x = 0 + -8x -24x = -8x Solving -24x = -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. -24x + 8x = -8x + 8x Combine like terms: -24x + 8x = -16x -16x = -8x + 8x Combine like terms: -8x + 8x = 0 -16x = 0 Divide each side by '-16'. x = 0 Simplifying x = 0
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