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Simplifying 7x + -13 = 2x + 22 Reorder the terms: -13 + 7x = 2x + 22 Reorder the terms: -13 + 7x = 22 + 2x Solving -13 + 7x = 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 + 7x + -2x = 22 + 2x + -2x Combine like terms: 7x + -2x = 5x -13 + 5x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + 5x = 22 + 0 -13 + 5x = 22 Add '13' to each side of the equation. -13 + 13 + 5x = 22 + 13 Combine like terms: -13 + 13 = 0 0 + 5x = 22 + 13 5x = 22 + 13 Combine like terms: 22 + 13 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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