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Simplifying 6(5x + 4) = 4(5x + 16) Reorder the terms: 6(4 + 5x) = 4(5x + 16) (4 * 6 + 5x * 6) = 4(5x + 16) (24 + 30x) = 4(5x + 16) Reorder the terms: 24 + 30x = 4(16 + 5x) 24 + 30x = (16 * 4 + 5x * 4) 24 + 30x = (64 + 20x) Solving 24 + 30x = 64 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 24 + 30x + -20x = 64 + 20x + -20x Combine like terms: 30x + -20x = 10x 24 + 10x = 64 + 20x + -20x Combine like terms: 20x + -20x = 0 24 + 10x = 64 + 0 24 + 10x = 64 Add '-24' to each side of the equation. 24 + -24 + 10x = 64 + -24 Combine like terms: 24 + -24 = 0 0 + 10x = 64 + -24 10x = 64 + -24 Combine like terms: 64 + -24 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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