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Simplifying 27x + 23 = 32x + 33 Reorder the terms: 23 + 27x = 32x + 33 Reorder the terms: 23 + 27x = 33 + 32x Solving 23 + 27x = 33 + 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. 23 + 27x + -32x = 33 + 32x + -32x Combine like terms: 27x + -32x = -5x 23 + -5x = 33 + 32x + -32x Combine like terms: 32x + -32x = 0 23 + -5x = 33 + 0 23 + -5x = 33 Add '-23' to each side of the equation. 23 + -23 + -5x = 33 + -23 Combine like terms: 23 + -23 = 0 0 + -5x = 33 + -23 -5x = 33 + -23 Combine like terms: 33 + -23 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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