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Simplifying 2(5 + 9x) = 22 + 7x (5 * 2 + 9x * 2) = 22 + 7x (10 + 18x) = 22 + 7x Solving 10 + 18x = 22 + 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 = 22 + 7x + -7x Combine like terms: 18x + -7x = 11x 10 + 11x = 22 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + 11x = 22 + 0 10 + 11x = 22 Add '-10' to each side of the equation. 10 + -10 + 11x = 22 + -10 Combine like terms: 10 + -10 = 0 0 + 11x = 22 + -10 11x = 22 + -10 Combine like terms: 22 + -10 = 12 11x = 12 Divide each side by '11'. x = 1.090909091 Simplifying x = 1.090909091
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