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Simplifying 34 = x + 42 + -7x Reorder the terms: 34 = 42 + x + -7x Combine like terms: x + -7x = -6x 34 = 42 + -6x Solving 34 = 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 + 6x = 42 + -6x + 6x Combine like terms: -6x + 6x = 0 34 + 6x = 42 + 0 34 + 6x = 42 Add '-34' to each side of the equation. 34 + -34 + 6x = 42 + -34 Combine like terms: 34 + -34 = 0 0 + 6x = 42 + -34 6x = 42 + -34 Combine like terms: 42 + -34 = 8 6x = 8 Divide each side by '6'. x = 1.333333333 Simplifying x = 1.333333333
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