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Simplifying 7x + 34 = 6x + 42 Reorder the terms: 34 + 7x = 6x + 42 Reorder the terms: 34 + 7x = 42 + 6x Solving 34 + 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. 34 + 7x + -6x = 42 + 6x + -6x Combine like terms: 7x + -6x = 1x 34 + 1x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 34 + 1x = 42 + 0 34 + 1x = 42 Add '-34' to each side of the equation. 34 + -34 + 1x = 42 + -34 Combine like terms: 34 + -34 = 0 0 + 1x = 42 + -34 1x = 42 + -34 Combine like terms: 42 + -34 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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