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Simplifying 4(6x + 1) = 6(2x + 4) Reorder the terms: 4(1 + 6x) = 6(2x + 4) (1 * 4 + 6x * 4) = 6(2x + 4) (4 + 24x) = 6(2x + 4) Reorder the terms: 4 + 24x = 6(4 + 2x) 4 + 24x = (4 * 6 + 2x * 6) 4 + 24x = (24 + 12x) Solving 4 + 24x = 24 + 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 + 24x + -12x = 24 + 12x + -12x Combine like terms: 24x + -12x = 12x 4 + 12x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 4 + 12x = 24 + 0 4 + 12x = 24 Add '-4' to each side of the equation. 4 + -4 + 12x = 24 + -4 Combine like terms: 4 + -4 = 0 0 + 12x = 24 + -4 12x = 24 + -4 Combine like terms: 24 + -4 = 20 12x = 20 Divide each side by '12'. x = 1.666666667 Simplifying x = 1.666666667
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