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Simplifying 7x + 6 = x + 42 Reorder the terms: 6 + 7x = x + 42 Reorder the terms: 6 + 7x = 42 + x Solving 6 + 7x = 42 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6 + 7x + -1x = 42 + x + -1x Combine like terms: 7x + -1x = 6x 6 + 6x = 42 + x + -1x Combine like terms: x + -1x = 0 6 + 6x = 42 + 0 6 + 6x = 42 Add '-6' to each side of the equation. 6 + -6 + 6x = 42 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 42 + -6 6x = 42 + -6 Combine like terms: 42 + -6 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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