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Simplifying 4(5x + 1) = 3(4x + 12) Reorder the terms: 4(1 + 5x) = 3(4x + 12) (1 * 4 + 5x * 4) = 3(4x + 12) (4 + 20x) = 3(4x + 12) Reorder the terms: 4 + 20x = 3(12 + 4x) 4 + 20x = (12 * 3 + 4x * 3) 4 + 20x = (36 + 12x) Solving 4 + 20x = 36 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 4 + 20x + -12x = 36 + 12x + -12x Combine like terms: 20x + -12x = 8x 4 + 8x = 36 + 12x + -12x Combine like terms: 12x + -12x = 0 4 + 8x = 36 + 0 4 + 8x = 36 Add '-4' to each side of the equation. 4 + -4 + 8x = 36 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 36 + -4 8x = 36 + -4 Combine like terms: 36 + -4 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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