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Simplifying 3(4x + 1) = 11(x + 1) Reorder the terms: 3(1 + 4x) = 11(x + 1) (1 * 3 + 4x * 3) = 11(x + 1) (3 + 12x) = 11(x + 1) Reorder the terms: 3 + 12x = 11(1 + x) 3 + 12x = (1 * 11 + x * 11) 3 + 12x = (11 + 11x) Solving 3 + 12x = 11 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 3 + 12x + -11x = 11 + 11x + -11x Combine like terms: 12x + -11x = 1x 3 + 1x = 11 + 11x + -11x Combine like terms: 11x + -11x = 0 3 + 1x = 11 + 0 3 + 1x = 11 Add '-3' to each side of the equation. 3 + -3 + 1x = 11 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 11 + -3 1x = 11 + -3 Combine like terms: 11 + -3 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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