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Simplifying 4(4x + 1) = 3(5x + 4) Reorder the terms: 4(1 + 4x) = 3(5x + 4) (1 * 4 + 4x * 4) = 3(5x + 4) (4 + 16x) = 3(5x + 4) Reorder the terms: 4 + 16x = 3(4 + 5x) 4 + 16x = (4 * 3 + 5x * 3) 4 + 16x = (12 + 15x) Solving 4 + 16x = 12 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 4 + 16x + -15x = 12 + 15x + -15x Combine like terms: 16x + -15x = 1x 4 + 1x = 12 + 15x + -15x Combine like terms: 15x + -15x = 0 4 + 1x = 12 + 0 4 + 1x = 12 Add '-4' to each side of the equation. 4 + -4 + 1x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 12 + -4 1x = 12 + -4 Combine like terms: 12 + -4 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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