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Simplifying -3(6x + 4) = -32 + -8x Reorder the terms: -3(4 + 6x) = -32 + -8x (4 * -3 + 6x * -3) = -32 + -8x (-12 + -18x) = -32 + -8x Solving -12 + -18x = -32 + -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. -12 + -18x + 8x = -32 + -8x + 8x Combine like terms: -18x + 8x = -10x -12 + -10x = -32 + -8x + 8x Combine like terms: -8x + 8x = 0 -12 + -10x = -32 + 0 -12 + -10x = -32 Add '12' to each side of the equation. -12 + 12 + -10x = -32 + 12 Combine like terms: -12 + 12 = 0 0 + -10x = -32 + 12 -10x = -32 + 12 Combine like terms: -32 + 12 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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