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Simplifying 5x + 13 = 122 + -6x Reorder the terms: 13 + 5x = 122 + -6x Solving 13 + 5x = 122 + -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. 13 + 5x + 6x = 122 + -6x + 6x Combine like terms: 5x + 6x = 11x 13 + 11x = 122 + -6x + 6x Combine like terms: -6x + 6x = 0 13 + 11x = 122 + 0 13 + 11x = 122 Add '-13' to each side of the equation. 13 + -13 + 11x = 122 + -13 Combine like terms: 13 + -13 = 0 0 + 11x = 122 + -13 11x = 122 + -13 Combine like terms: 122 + -13 = 109 11x = 109 Divide each side by '11'. x = 9.909090909 Simplifying x = 9.909090909
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