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Simplifying 3(4x + 2) = 11(x + 5) Reorder the terms: 3(2 + 4x) = 11(x + 5) (2 * 3 + 4x * 3) = 11(x + 5) (6 + 12x) = 11(x + 5) Reorder the terms: 6 + 12x = 11(5 + x) 6 + 12x = (5 * 11 + x * 11) 6 + 12x = (55 + 11x) Solving 6 + 12x = 55 + 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. 6 + 12x + -11x = 55 + 11x + -11x Combine like terms: 12x + -11x = 1x 6 + 1x = 55 + 11x + -11x Combine like terms: 11x + -11x = 0 6 + 1x = 55 + 0 6 + 1x = 55 Add '-6' to each side of the equation. 6 + -6 + 1x = 55 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 55 + -6 1x = 55 + -6 Combine like terms: 55 + -6 = 49 1x = 49 Divide each side by '1'. x = 49 Simplifying x = 49
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