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Simplifying 9(x + -22) = 55 + -11(x + 5) Reorder the terms: 9(-22 + x) = 55 + -11(x + 5) (-22 * 9 + x * 9) = 55 + -11(x + 5) (-198 + 9x) = 55 + -11(x + 5) Reorder the terms: -198 + 9x = 55 + -11(5 + x) -198 + 9x = 55 + (5 * -11 + x * -11) -198 + 9x = 55 + (-55 + -11x) Combine like terms: 55 + -55 = 0 -198 + 9x = 0 + -11x -198 + 9x = -11x Solving -198 + 9x = -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. -198 + 9x + 11x = -11x + 11x Combine like terms: 9x + 11x = 20x -198 + 20x = -11x + 11x Combine like terms: -11x + 11x = 0 -198 + 20x = 0 Add '198' to each side of the equation. -198 + 198 + 20x = 0 + 198 Combine like terms: -198 + 198 = 0 0 + 20x = 0 + 198 20x = 0 + 198 Combine like terms: 0 + 198 = 198 20x = 198 Divide each side by '20'. x = 9.9 Simplifying x = 9.9
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