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Simplifying 10x + 11 = 3x + 46 Reorder the terms: 11 + 10x = 3x + 46 Reorder the terms: 11 + 10x = 46 + 3x Solving 11 + 10x = 46 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 11 + 10x + -3x = 46 + 3x + -3x Combine like terms: 10x + -3x = 7x 11 + 7x = 46 + 3x + -3x Combine like terms: 3x + -3x = 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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