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Simplifying -5x + 9 = 6x + -13 Reorder the terms: 9 + -5x = 6x + -13 Reorder the terms: 9 + -5x = -13 + 6x Solving 9 + -5x = -13 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 9 + -5x + -6x = -13 + 6x + -6x Combine like terms: -5x + -6x = -11x 9 + -11x = -13 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + -11x = -13 + 0 9 + -11x = -13 Add '-9' to each side of the equation. 9 + -9 + -11x = -13 + -9 Combine like terms: 9 + -9 = 0 0 + -11x = -13 + -9 -11x = -13 + -9 Combine like terms: -13 + -9 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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