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Simplifying 7x + 5x + 22 = 11x + 45 Reorder the terms: 22 + 7x + 5x = 11x + 45 Combine like terms: 7x + 5x = 12x 22 + 12x = 11x + 45 Reorder the terms: 22 + 12x = 45 + 11x Solving 22 + 12x = 45 + 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. 22 + 12x + -11x = 45 + 11x + -11x Combine like terms: 12x + -11x = 1x 22 + 1x = 45 + 11x + -11x Combine like terms: 11x + -11x = 0 22 + 1x = 45 + 0 22 + 1x = 45 Add '-22' to each side of the equation. 22 + -22 + 1x = 45 + -22 Combine like terms: 22 + -22 = 0 0 + 1x = 45 + -22 1x = 45 + -22 Combine like terms: 45 + -22 = 23 1x = 23 Divide each side by '1'. x = 23 Simplifying x = 23
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