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Simplifying 4(9x + 1) = 6(4x + 9) Reorder the terms: 4(1 + 9x) = 6(4x + 9) (1 * 4 + 9x * 4) = 6(4x + 9) (4 + 36x) = 6(4x + 9) Reorder the terms: 4 + 36x = 6(9 + 4x) 4 + 36x = (9 * 6 + 4x * 6) 4 + 36x = (54 + 24x) Solving 4 + 36x = 54 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 4 + 36x + -24x = 54 + 24x + -24x Combine like terms: 36x + -24x = 12x 4 + 12x = 54 + 24x + -24x Combine like terms: 24x + -24x = 0 4 + 12x = 54 + 0 4 + 12x = 54 Add '-4' to each side of the equation. 4 + -4 + 12x = 54 + -4 Combine like terms: 4 + -4 = 0 0 + 12x = 54 + -4 12x = 54 + -4 Combine like terms: 54 + -4 = 50 12x = 50 Divide each side by '12'. x = 4.166666667 Simplifying x = 4.166666667
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