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Simplifying 4x + 46 = 11x + -8 Reorder the terms: 46 + 4x = 11x + -8 Reorder the terms: 46 + 4x = -8 + 11x Solving 46 + 4x = -8 + 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. 46 + 4x + -11x = -8 + 11x + -11x Combine like terms: 4x + -11x = -7x 46 + -7x = -8 + 11x + -11x Combine like terms: 11x + -11x = 0 46 + -7x = -8 + 0 46 + -7x = -8 Add '-46' to each side of the equation. 46 + -46 + -7x = -8 + -46 Combine like terms: 46 + -46 = 0 0 + -7x = -8 + -46 -7x = -8 + -46 Combine like terms: -8 + -46 = -54 -7x = -54 Divide each side by '-7'. x = 7.714285714 Simplifying x = 7.714285714
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