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Simplifying 24(x + -1) = 2(12 + 4) + -32 Reorder the terms: 24(-1 + x) = 2(12 + 4) + -32 (-1 * 24 + x * 24) = 2(12 + 4) + -32 (-24 + 24x) = 2(12 + 4) + -32 Combine like terms: 12 + 4 = 16 -24 + 24x = 2(16) + -32 Multiply 2 * 16 -24 + 24x = 32 + -32 Combine like terms: 32 + -32 = 0 -24 + 24x = 0 Solving -24 + 24x = 0 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 + 24x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 24x = 0 + 24 24x = 0 + 24 Combine like terms: 0 + 24 = 24 24x = 24 Divide each side by '24'. x = 1 Simplifying x = 1
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