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Simplifying 2(5 + -9x) = 15.1 + -7x (5 * 2 + -9x * 2) = 15.1 + -7x (10 + -18x) = 15.1 + -7x Solving 10 + -18x = 15.1 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 10 + -18x + 7x = 15.1 + -7x + 7x Combine like terms: -18x + 7x = -11x 10 + -11x = 15.1 + -7x + 7x Combine like terms: -7x + 7x = 0 10 + -11x = 15.1 + 0 10 + -11x = 15.1 Add '-10' to each side of the equation. 10 + -10 + -11x = 15.1 + -10 Combine like terms: 10 + -10 = 0 0 + -11x = 15.1 + -10 -11x = 15.1 + -10 Combine like terms: 15.1 + -10 = 5.1 -11x = 5.1 Divide each side by '-11'. x = -0.4636363636 Simplifying x = -0.4636363636
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