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Simplifying 7x + 17 = 11x + 1 Reorder the terms: 17 + 7x = 11x + 1 Reorder the terms: 17 + 7x = 1 + 11x Solving 17 + 7x = 1 + 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. 17 + 7x + -11x = 1 + 11x + -11x Combine like terms: 7x + -11x = -4x 17 + -4x = 1 + 11x + -11x Combine like terms: 11x + -11x = 0 17 + -4x = 1 + 0 17 + -4x = 1 Add '-17' to each side of the equation. 17 + -17 + -4x = 1 + -17 Combine like terms: 17 + -17 = 0 0 + -4x = 1 + -17 -4x = 1 + -17 Combine like terms: 1 + -17 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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