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Simplifying 5(2x + 4) = 7x + 32 Reorder the terms: 5(4 + 2x) = 7x + 32 (4 * 5 + 2x * 5) = 7x + 32 (20 + 10x) = 7x + 32 Reorder the terms: 20 + 10x = 32 + 7x Solving 20 + 10x = 32 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 20 + 10x + -7x = 32 + 7x + -7x Combine like terms: 10x + -7x = 3x 20 + 3x = 32 + 7x + -7x Combine like terms: 7x + -7x = 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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