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Simplifying 5(2 + -1x) = 2(4 + 3x) (2 * 5 + -1x * 5) = 2(4 + 3x) (10 + -5x) = 2(4 + 3x) 10 + -5x = (4 * 2 + 3x * 2) 10 + -5x = (8 + 6x) Solving 10 + -5x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10 + -5x + -6x = 8 + 6x + -6x Combine like terms: -5x + -6x = -11x 10 + -11x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -11x = 8 + 0 10 + -11x = 8 Add '-10' to each side of the equation. 10 + -10 + -11x = 8 + -10 Combine like terms: 10 + -10 = 0 0 + -11x = 8 + -10 -11x = 8 + -10 Combine like terms: 8 + -10 = -2 -11x = -2 Divide each side by '-11'. x = 0.1818181818 Simplifying x = 0.1818181818
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