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Simplifying 4(2x + -6) + -8 = 32 Reorder the terms: 4(-6 + 2x) + -8 = 32 (-6 * 4 + 2x * 4) + -8 = 32 (-24 + 8x) + -8 = 32 Reorder the terms: -24 + -8 + 8x = 32 Combine like terms: -24 + -8 = -32 -32 + 8x = 32 Solving -32 + 8x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 8x = 32 + 32 Combine like terms: -32 + 32 = 0 0 + 8x = 32 + 32 8x = 32 + 32 Combine like terms: 32 + 32 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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