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Simplifying 4x + 4(x + -6) = 32 Reorder the terms: 4x + 4(-6 + x) = 32 4x + (-6 * 4 + x * 4) = 32 4x + (-24 + 4x) = 32 Reorder the terms: -24 + 4x + 4x = 32 Combine like terms: 4x + 4x = 8x -24 + 8x = 32 Solving -24 + 8x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 8x = 32 + 24 Combine like terms: -24 + 24 = 0 0 + 8x = 32 + 24 8x = 32 + 24 Combine like terms: 32 + 24 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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