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Simplifying 4(2x + 5) = 5x + 32 Reorder the terms: 4(5 + 2x) = 5x + 32 (5 * 4 + 2x * 4) = 5x + 32 (20 + 8x) = 5x + 32 Reorder the terms: 20 + 8x = 32 + 5x Solving 20 + 8x = 32 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 20 + 8x + -5x = 32 + 5x + -5x Combine like terms: 8x + -5x = 3x 20 + 3x = 32 + 5x + -5x Combine like terms: 5x + -5x = 0 20 + 3x = 32 + 0 20 + 3x = 32 Add '-20' to each side of the equation. 20 + -20 + 3x = 32 + -20 Combine like terms: 20 + -20 = 0 0 + 3x = 32 + -20 3x = 32 + -20 Combine like terms: 32 + -20 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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