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Simplifying -32 = 6(x + -4) + -8x Reorder the terms: -32 = 6(-4 + x) + -8x -32 = (-4 * 6 + x * 6) + -8x -32 = (-24 + 6x) + -8x Combine like terms: 6x + -8x = -2x -32 = -24 + -2x Solving -32 = -24 + -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 + 2x = -24 + -2x + 2x Combine like terms: -2x + 2x = 0 -32 + 2x = -24 + 0 -32 + 2x = -24 Add '32' to each side of the equation. -32 + 32 + 2x = -24 + 32 Combine like terms: -32 + 32 = 0 0 + 2x = -24 + 32 2x = -24 + 32 Combine like terms: -24 + 32 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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