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Simplifying (4 + 2x) * 5 + 2 + -5x = 32 Reorder the terms for easier multiplication: 5(4 + 2x) + 2 + -5x = 32 (4 * 5 + 2x * 5) + 2 + -5x = 32 (20 + 10x) + 2 + -5x = 32 Reorder the terms: 20 + 2 + 10x + -5x = 32 Combine like terms: 20 + 2 = 22 22 + 10x + -5x = 32 Combine like terms: 10x + -5x = 5x 22 + 5x = 32 Solving 22 + 5x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 5x = 32 + -22 Combine like terms: 22 + -22 = 0 0 + 5x = 32 + -22 5x = 32 + -22 Combine like terms: 32 + -22 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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