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Simplifying 3(4x + 1) = 9(x + 1) Reorder the terms: 3(1 + 4x) = 9(x + 1) (1 * 3 + 4x * 3) = 9(x + 1) (3 + 12x) = 9(x + 1) Reorder the terms: 3 + 12x = 9(1 + x) 3 + 12x = (1 * 9 + x * 9) 3 + 12x = (9 + 9x) Solving 3 + 12x = 9 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 3 + 12x + -9x = 9 + 9x + -9x Combine like terms: 12x + -9x = 3x 3 + 3x = 9 + 9x + -9x Combine like terms: 9x + -9x = 0 3 + 3x = 9 + 0 3 + 3x = 9 Add '-3' to each side of the equation. 3 + -3 + 3x = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 9 + -3 3x = 9 + -3 Combine like terms: 9 + -3 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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