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Simplifying 4(4x + 1) = 2(5x + 2) Reorder the terms: 4(1 + 4x) = 2(5x + 2) (1 * 4 + 4x * 4) = 2(5x + 2) (4 + 16x) = 2(5x + 2) Reorder the terms: 4 + 16x = 2(2 + 5x) 4 + 16x = (2 * 2 + 5x * 2) 4 + 16x = (4 + 10x) Add '-4' to each side of the equation. 4 + -4 + 16x = 4 + -4 + 10x Combine like terms: 4 + -4 = 0 0 + 16x = 4 + -4 + 10x 16x = 4 + -4 + 10x Combine like terms: 4 + -4 = 0 16x = 0 + 10x 16x = 10x Solving 16x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 16x + -10x = 10x + -10x Combine like terms: 16x + -10x = 6x 6x = 10x + -10x Combine like terms: 10x + -10x = 0 6x = 0 Divide each side by '6'. x = 0 Simplifying x = 0
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