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Simplifying -4(8 + -3x) = 2x + 8 (8 * -4 + -3x * -4) = 2x + 8 (-32 + 12x) = 2x + 8 Reorder the terms: -32 + 12x = 8 + 2x Solving -32 + 12x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -32 + 12x + -2x = 8 + 2x + -2x Combine like terms: 12x + -2x = 10x -32 + 10x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -32 + 10x = 8 + 0 -32 + 10x = 8 Add '32' to each side of the equation. -32 + 32 + 10x = 8 + 32 Combine like terms: -32 + 32 = 0 0 + 10x = 8 + 32 10x = 8 + 32 Combine like terms: 8 + 32 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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