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Simplifying 5(4x + 9) = 11x + -3 Reorder the terms: 5(9 + 4x) = 11x + -3 (9 * 5 + 4x * 5) = 11x + -3 (45 + 20x) = 11x + -3 Reorder the terms: 45 + 20x = -3 + 11x Solving 45 + 20x = -3 + 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. 45 + 20x + -11x = -3 + 11x + -11x Combine like terms: 20x + -11x = 9x 45 + 9x = -3 + 11x + -11x Combine like terms: 11x + -11x = 0 45 + 9x = -3 + 0 45 + 9x = -3 Add '-45' to each side of the equation. 45 + -45 + 9x = -3 + -45 Combine like terms: 45 + -45 = 0 0 + 9x = -3 + -45 9x = -3 + -45 Combine like terms: -3 + -45 = -48 9x = -48 Divide each side by '9'. x = -5.333333333 Simplifying x = -5.333333333
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