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Simplifying 3(5x + 1) = 4(3x + 6) Reorder the terms: 3(1 + 5x) = 4(3x + 6) (1 * 3 + 5x * 3) = 4(3x + 6) (3 + 15x) = 4(3x + 6) Reorder the terms: 3 + 15x = 4(6 + 3x) 3 + 15x = (6 * 4 + 3x * 4) 3 + 15x = (24 + 12x) Solving 3 + 15x = 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. 3 + 15x + -12x = 24 + 12x + -12x Combine like terms: 15x + -12x = 3x 3 + 3x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 3 + 3x = 24 + 0 3 + 3x = 24 Add '-3' to each side of the equation. 3 + -3 + 3x = 24 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 24 + -3 3x = 24 + -3 Combine like terms: 24 + -3 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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