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Simplifying -4(2x + 8) = 3(4 + -1x) Reorder the terms: -4(8 + 2x) = 3(4 + -1x) (8 * -4 + 2x * -4) = 3(4 + -1x) (-32 + -8x) = 3(4 + -1x) -32 + -8x = (4 * 3 + -1x * 3) -32 + -8x = (12 + -3x) Solving -32 + -8x = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -32 + -8x + 3x = 12 + -3x + 3x Combine like terms: -8x + 3x = -5x -32 + -5x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -32 + -5x = 12 + 0 -32 + -5x = 12 Add '32' to each side of the equation. -32 + 32 + -5x = 12 + 32 Combine like terms: -32 + 32 = 0 0 + -5x = 12 + 32 -5x = 12 + 32 Combine like terms: 12 + 32 = 44 -5x = 44 Divide each side by '-5'. x = -8.8 Simplifying x = -8.8
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