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Simplifying 4(6x + 1) = 3(4x + 3) + 42 Reorder the terms: 4(1 + 6x) = 3(4x + 3) + 42 (1 * 4 + 6x * 4) = 3(4x + 3) + 42 (4 + 24x) = 3(4x + 3) + 42 Reorder the terms: 4 + 24x = 3(3 + 4x) + 42 4 + 24x = (3 * 3 + 4x * 3) + 42 4 + 24x = (9 + 12x) + 42 Reorder the terms: 4 + 24x = 9 + 42 + 12x Combine like terms: 9 + 42 = 51 4 + 24x = 51 + 12x Solving 4 + 24x = 51 + 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 = 51 + 12x + -12x Combine like terms: 24x + -12x = 12x 4 + 12x = 51 + 12x + -12x Combine like terms: 12x + -12x = 0 4 + 12x = 51 + 0 4 + 12x = 51 Add '-4' to each side of the equation. 4 + -4 + 12x = 51 + -4 Combine like terms: 4 + -4 = 0 0 + 12x = 51 + -4 12x = 51 + -4 Combine like terms: 51 + -4 = 47 12x = 47 Divide each side by '12'. x = 3.916666667 Simplifying x = 3.916666667
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