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Simplifying 11x + 13 = 17x + 7 Reorder the terms: 13 + 11x = 17x + 7 Reorder the terms: 13 + 11x = 7 + 17x Solving 13 + 11x = 7 + 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 + 11x + -17x = 7 + 17x + -17x Combine like terms: 11x + -17x = -6x 13 + -6x = 7 + 17x + -17x Combine like terms: 17x + -17x = 0 13 + -6x = 7 + 0 13 + -6x = 7 Add '-13' to each side of the equation. 13 + -13 + -6x = 7 + -13 Combine like terms: 13 + -13 = 0 0 + -6x = 7 + -13 -6x = 7 + -13 Combine like terms: 7 + -13 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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