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Simplifying 4(3x + 2) = 11(x + 2) Reorder the terms: 4(2 + 3x) = 11(x + 2) (2 * 4 + 3x * 4) = 11(x + 2) (8 + 12x) = 11(x + 2) Reorder the terms: 8 + 12x = 11(2 + x) 8 + 12x = (2 * 11 + x * 11) 8 + 12x = (22 + 11x) Solving 8 + 12x = 22 + 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. 8 + 12x + -11x = 22 + 11x + -11x Combine like terms: 12x + -11x = 1x 8 + 1x = 22 + 11x + -11x Combine like terms: 11x + -11x = 0 8 + 1x = 22 + 0 8 + 1x = 22 Add '-8' to each side of the equation. 8 + -8 + 1x = 22 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 22 + -8 1x = 22 + -8 Combine like terms: 22 + -8 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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