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Simplifying 7x + 9 + -5x = 10 + -11x + 12 Reorder the terms: 9 + 7x + -5x = 10 + -11x + 12 Combine like terms: 7x + -5x = 2x 9 + 2x = 10 + -11x + 12 Reorder the terms: 9 + 2x = 10 + 12 + -11x Combine like terms: 10 + 12 = 22 9 + 2x = 22 + -11x Solving 9 + 2x = 22 + -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. 9 + 2x + 11x = 22 + -11x + 11x Combine like terms: 2x + 11x = 13x 9 + 13x = 22 + -11x + 11x Combine like terms: -11x + 11x = 0 9 + 13x = 22 + 0 9 + 13x = 22 Add '-9' to each side of the equation. 9 + -9 + 13x = 22 + -9 Combine like terms: 9 + -9 = 0 0 + 13x = 22 + -9 13x = 22 + -9 Combine like terms: 22 + -9 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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