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Simplifying 32(x + 1) = 27x Reorder the terms: 32(1 + x) = 27x (1 * 32 + x * 32) = 27x (32 + 32x) = 27x Solving 32 + 32x = 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 32 + 32x + -27x = 27x + -27x Combine like terms: 32x + -27x = 5x 32 + 5x = 27x + -27x Combine like terms: 27x + -27x = 0 32 + 5x = 0 Add '-32' to each side of the equation. 32 + -32 + 5x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 5x = 0 + -32 5x = 0 + -32 Combine like terms: 0 + -32 = -32 5x = -32 Divide each side by '5'. x = -6.4 Simplifying x = -6.4
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