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Simplifying 4x + 17 = 11x + 24 Reorder the terms: 17 + 4x = 11x + 24 Reorder the terms: 17 + 4x = 24 + 11x Solving 17 + 4x = 24 + 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 + 4x + -11x = 24 + 11x + -11x Combine like terms: 4x + -11x = -7x 17 + -7x = 24 + 11x + -11x Combine like terms: 11x + -11x = 0 17 + -7x = 24 + 0 17 + -7x = 24 Add '-17' to each side of the equation. 17 + -17 + -7x = 24 + -17 Combine like terms: 17 + -17 = 0 0 + -7x = 24 + -17 -7x = 24 + -17 Combine like terms: 24 + -17 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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