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Simplifying 3x + 11 = -4x + 46 Reorder the terms: 11 + 3x = -4x + 46 Reorder the terms: 11 + 3x = 46 + -4x Solving 11 + 3x = 46 + -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. 11 + 3x + 4x = 46 + -4x + 4x Combine like terms: 3x + 4x = 7x 11 + 7x = 46 + -4x + 4x Combine like terms: -4x + 4x = 0 11 + 7x = 46 + 0 11 + 7x = 46 Add '-11' to each side of the equation. 11 + -11 + 7x = 46 + -11 Combine like terms: 11 + -11 = 0 0 + 7x = 46 + -11 7x = 46 + -11 Combine like terms: 46 + -11 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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