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Simplifying 9(2x + 7) = 11(x + 14) Reorder the terms: 9(7 + 2x) = 11(x + 14) (7 * 9 + 2x * 9) = 11(x + 14) (63 + 18x) = 11(x + 14) Reorder the terms: 63 + 18x = 11(14 + x) 63 + 18x = (14 * 11 + x * 11) 63 + 18x = (154 + 11x) Solving 63 + 18x = 154 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 63 + 18x + -11x = 154 + 11x + -11x Combine like terms: 18x + -11x = 7x 63 + 7x = 154 + 11x + -11x Combine like terms: 11x + -11x = 0 63 + 7x = 154 + 0 63 + 7x = 154 Add '-63' to each side of the equation. 63 + -63 + 7x = 154 + -63 Combine like terms: 63 + -63 = 0 0 + 7x = 154 + -63 7x = 154 + -63 Combine like terms: 154 + -63 = 91 7x = 91 Divide each side by '7'. x = 13 Simplifying x = 13
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