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