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Simplifying 2(4 + -1x) = 3(3x + 2) (4 * 2 + -1x * 2) = 3(3x + 2) (8 + -2x) = 3(3x + 2) Reorder the terms: 8 + -2x = 3(2 + 3x) 8 + -2x = (2 * 3 + 3x * 3) 8 + -2x = (6 + 9x) Solving 8 + -2x = 6 + 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. 8 + -2x + -9x = 6 + 9x + -9x Combine like terms: -2x + -9x = -11x 8 + -11x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 8 + -11x = 6 + 0 8 + -11x = 6 Add '-8' to each side of the equation. 8 + -8 + -11x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -11x = 6 + -8 -11x = 6 + -8 Combine like terms: 6 + -8 = -2 -11x = -2 Divide each side by '-11'. x = 0.1818181818 Simplifying x = 0.1818181818
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