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