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Simplifying 9x + 22 = 16x + -27 Reorder the terms: 22 + 9x = 16x + -27 Reorder the terms: 22 + 9x = -27 + 16x Solving 22 + 9x = -27 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 22 + 9x + -16x = -27 + 16x + -16x Combine like terms: 9x + -16x = -7x 22 + -7x = -27 + 16x + -16x Combine like terms: 16x + -16x = 0 22 + -7x = -27 + 0 22 + -7x = -27 Add '-22' to each side of the equation. 22 + -22 + -7x = -27 + -22 Combine like terms: 22 + -22 = 0 0 + -7x = -27 + -22 -7x = -27 + -22 Combine like terms: -27 + -22 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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