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Simplifying 2x + 22 = 3x + 10 + 9 Reorder the terms: 22 + 2x = 3x + 10 + 9 Reorder the terms: 22 + 2x = 10 + 9 + 3x Combine like terms: 10 + 9 = 19 22 + 2x = 19 + 3x Solving 22 + 2x = 19 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 22 + 2x + -3x = 19 + 3x + -3x Combine like terms: 2x + -3x = -1x 22 + -1x = 19 + 3x + -3x Combine like terms: 3x + -3x = 0 22 + -1x = 19 + 0 22 + -1x = 19 Add '-22' to each side of the equation. 22 + -22 + -1x = 19 + -22 Combine like terms: 22 + -22 = 0 0 + -1x = 19 + -22 -1x = 19 + -22 Combine like terms: 19 + -22 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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