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Simplifying 6x + 13 = 17x + 18 Reorder the terms: 13 + 6x = 17x + 18 Reorder the terms: 13 + 6x = 18 + 17x Solving 13 + 6x = 18 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 13 + 6x + -17x = 18 + 17x + -17x Combine like terms: 6x + -17x = -11x 13 + -11x = 18 + 17x + -17x Combine like terms: 17x + -17x = 0 13 + -11x = 18 + 0 13 + -11x = 18 Add '-13' to each side of the equation. 13 + -13 + -11x = 18 + -13 Combine like terms: 13 + -13 = 0 0 + -11x = 18 + -13 -11x = 18 + -13 Combine like terms: 18 + -13 = 5 -11x = 5 Divide each side by '-11'. x = -0.4545454545 Simplifying x = -0.4545454545
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