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Simplifying -32 = 4(2x + -6) Reorder the terms: -32 = 4(-6 + 2x) -32 = (-6 * 4 + 2x * 4) -32 = (-24 + 8x) Solving -32 = -24 + 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. -32 + -8x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 -32 + -8x = -24 + 0 -32 + -8x = -24 Add '32' to each side of the equation. -32 + 32 + -8x = -24 + 32 Combine like terms: -32 + 32 = 0 0 + -8x = -24 + 32 -8x = -24 + 32 Combine like terms: -24 + 32 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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