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Simplifying 5(2x + 4) = 4x + 32 Reorder the terms: 5(4 + 2x) = 4x + 32 (4 * 5 + 2x * 5) = 4x + 32 (20 + 10x) = 4x + 32 Reorder the terms: 20 + 10x = 32 + 4x Solving 20 + 10x = 32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 20 + 10x + -4x = 32 + 4x + -4x Combine like terms: 10x + -4x = 6x 20 + 6x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + 6x = 32 + 0 20 + 6x = 32 Add '-20' to each side of the equation. 20 + -20 + 6x = 32 + -20 Combine like terms: 20 + -20 = 0 0 + 6x = 32 + -20 6x = 32 + -20 Combine like terms: 32 + -20 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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