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Simplifying 4x + 31 = 11x + 46 Reorder the terms: 31 + 4x = 11x + 46 Reorder the terms: 31 + 4x = 46 + 11x Solving 31 + 4x = 46 + 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. 31 + 4x + -11x = 46 + 11x + -11x Combine like terms: 4x + -11x = -7x 31 + -7x = 46 + 11x + -11x Combine like terms: 11x + -11x = 0 31 + -7x = 46 + 0 31 + -7x = 46 Add '-31' to each side of the equation. 31 + -31 + -7x = 46 + -31 Combine like terms: 31 + -31 = 0 0 + -7x = 46 + -31 -7x = 46 + -31 Combine like terms: 46 + -31 = 15 -7x = 15 Divide each side by '-7'. x = -2.142857143 Simplifying x = -2.142857143
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