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Simplifying 9x + -13 = 2x + 22 Reorder the terms: -13 + 9x = 2x + 22 Reorder the terms: -13 + 9x = 22 + 2x Solving -13 + 9x = 22 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -13 + 9x + -2x = 22 + 2x + -2x Combine like terms: 9x + -2x = 7x -13 + 7x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + 7x = 22 + 0 -13 + 7x = 22 Add '13' to each side of the equation. -13 + 13 + 7x = 22 + 13 Combine like terms: -13 + 13 = 0 0 + 7x = 22 + 13 7x = 22 + 13 Combine like terms: 22 + 13 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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