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Simplifying 4(4 + -3x) = 32 + -8(x + 2) (4 * 4 + -3x * 4) = 32 + -8(x + 2) (16 + -12x) = 32 + -8(x + 2) Reorder the terms: 16 + -12x = 32 + -8(2 + x) 16 + -12x = 32 + (2 * -8 + x * -8) 16 + -12x = 32 + (-16 + -8x) Combine like terms: 32 + -16 = 16 16 + -12x = 16 + -8x Add '-16' to each side of the equation. 16 + -16 + -12x = 16 + -16 + -8x Combine like terms: 16 + -16 = 0 0 + -12x = 16 + -16 + -8x -12x = 16 + -16 + -8x Combine like terms: 16 + -16 = 0 -12x = 0 + -8x -12x = -8x Solving -12x = -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. -12x + 8x = -8x + 8x Combine like terms: -12x + 8x = -4x -4x = -8x + 8x Combine like terms: -8x + 8x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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