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Simplifying x + 9(-4.5x + 22) = -32 Reorder the terms: x + 9(22 + -4.5x) = -32 x + (22 * 9 + -4.5x * 9) = -32 x + (198 + -40.5x) = -32 Reorder the terms: 198 + x + -40.5x = -32 Combine like terms: x + -40.5x = -39.5x 198 + -39.5x = -32 Solving 198 + -39.5x = -32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-198' to each side of the equation. 198 + -198 + -39.5x = -32 + -198 Combine like terms: 198 + -198 = 0 0 + -39.5x = -32 + -198 -39.5x = -32 + -198 Combine like terms: -32 + -198 = -230 -39.5x = -230 Divide each side by '-39.5'. x = 5.82278481 Simplifying x = 5.82278481
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