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Simplifying 5X + 13 = 11X + 6 Reorder the terms: 13 + 5X = 11X + 6 Reorder the terms: 13 + 5X = 6 + 11X Solving 13 + 5X = 6 + 11X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-11X' to each side of the equation. 13 + 5X + -11X = 6 + 11X + -11X Combine like terms: 5X + -11X = -6X 13 + -6X = 6 + 11X + -11X Combine like terms: 11X + -11X = 0 13 + -6X = 6 + 0 13 + -6X = 6 Add '-13' to each side of the equation. 13 + -13 + -6X = 6 + -13 Combine like terms: 13 + -13 = 0 0 + -6X = 6 + -13 -6X = 6 + -13 Combine like terms: 6 + -13 = -7 -6X = -7 Divide each side by '-6'. X = 1.166666667 Simplifying X = 1.166666667
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