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Simplifying 5(x + 6) = 11x + -9 Reorder the terms: 5(6 + x) = 11x + -9 (6 * 5 + x * 5) = 11x + -9 (30 + 5x) = 11x + -9 Reorder the terms: 30 + 5x = -9 + 11x Solving 30 + 5x = -9 + 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. 30 + 5x + -11x = -9 + 11x + -11x Combine like terms: 5x + -11x = -6x 30 + -6x = -9 + 11x + -11x Combine like terms: 11x + -11x = 0 30 + -6x = -9 + 0 30 + -6x = -9 Add '-30' to each side of the equation. 30 + -30 + -6x = -9 + -30 Combine like terms: 30 + -30 = 0 0 + -6x = -9 + -30 -6x = -9 + -30 Combine like terms: -9 + -30 = -39 -6x = -39 Divide each side by '-6'. x = 6.5 Simplifying x = 6.5
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