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Simplifying 3(9x + 2) = 11(3 + -1x) + 2x Reorder the terms: 3(2 + 9x) = 11(3 + -1x) + 2x (2 * 3 + 9x * 3) = 11(3 + -1x) + 2x (6 + 27x) = 11(3 + -1x) + 2x 6 + 27x = (3 * 11 + -1x * 11) + 2x 6 + 27x = (33 + -11x) + 2x Combine like terms: -11x + 2x = -9x 6 + 27x = 33 + -9x Solving 6 + 27x = 33 + -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. 6 + 27x + 9x = 33 + -9x + 9x Combine like terms: 27x + 9x = 36x 6 + 36x = 33 + -9x + 9x Combine like terms: -9x + 9x = 0 6 + 36x = 33 + 0 6 + 36x = 33 Add '-6' to each side of the equation. 6 + -6 + 36x = 33 + -6 Combine like terms: 6 + -6 = 0 0 + 36x = 33 + -6 36x = 33 + -6 Combine like terms: 33 + -6 = 27 36x = 27 Divide each side by '36'. x = 0.75 Simplifying x = 0.75
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