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Simplifying 20x + 16 + 15 = -11x + -5(-9x + 19) Reorder the terms: 16 + 15 + 20x = -11x + -5(-9x + 19) Combine like terms: 16 + 15 = 31 31 + 20x = -11x + -5(-9x + 19) Reorder the terms: 31 + 20x = -11x + -5(19 + -9x) 31 + 20x = -11x + (19 * -5 + -9x * -5) 31 + 20x = -11x + (-95 + 45x) Reorder the terms: 31 + 20x = -95 + -11x + 45x Combine like terms: -11x + 45x = 34x 31 + 20x = -95 + 34x Solving 31 + 20x = -95 + 34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34x' to each side of the equation. 31 + 20x + -34x = -95 + 34x + -34x Combine like terms: 20x + -34x = -14x 31 + -14x = -95 + 34x + -34x Combine like terms: 34x + -34x = 0 31 + -14x = -95 + 0 31 + -14x = -95 Add '-31' to each side of the equation. 31 + -31 + -14x = -95 + -31 Combine like terms: 31 + -31 = 0 0 + -14x = -95 + -31 -14x = -95 + -31 Combine like terms: -95 + -31 = -126 -14x = -126 Divide each side by '-14'. x = 9 Simplifying x = 9
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