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Simplifying 7x + 11 = 6x + 42 Reorder the terms: 11 + 7x = 6x + 42 Reorder the terms: 11 + 7x = 42 + 6x Solving 11 + 7x = 42 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 11 + 7x + -6x = 42 + 6x + -6x Combine like terms: 7x + -6x = 1x 11 + 1x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 11 + 1x = 42 + 0 11 + 1x = 42 Add '-11' to each side of the equation. 11 + -11 + 1x = 42 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 42 + -11 1x = 42 + -11 Combine like terms: 42 + -11 = 31 1x = 31 Divide each side by '1'. x = 31 Simplifying x = 31
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