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Simplifying 17 + 11x = 7 + 4x + 38 Reorder the terms: 17 + 11x = 7 + 38 + 4x Combine like terms: 7 + 38 = 45 17 + 11x = 45 + 4x Solving 17 + 11x = 45 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 17 + 11x + -4x = 45 + 4x + -4x Combine like terms: 11x + -4x = 7x 17 + 7x = 45 + 4x + -4x Combine like terms: 4x + -4x = 0 17 + 7x = 45 + 0 17 + 7x = 45 Add '-17' to each side of the equation. 17 + -17 + 7x = 45 + -17 Combine like terms: 17 + -17 = 0 0 + 7x = 45 + -17 7x = 45 + -17 Combine like terms: 45 + -17 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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