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Simplifying 5x + 22 = 10x + 9 Reorder the terms: 22 + 5x = 10x + 9 Reorder the terms: 22 + 5x = 9 + 10x Solving 22 + 5x = 9 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 22 + 5x + -10x = 9 + 10x + -10x Combine like terms: 5x + -10x = -5x 22 + -5x = 9 + 10x + -10x Combine like terms: 10x + -10x = 0 22 + -5x = 9 + 0 22 + -5x = 9 Add '-22' to each side of the equation. 22 + -22 + -5x = 9 + -22 Combine like terms: 22 + -22 = 0 0 + -5x = 9 + -22 -5x = 9 + -22 Combine like terms: 9 + -22 = -13 -5x = -13 Divide each side by '-5'. x = 2.6 Simplifying x = 2.6
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