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Simplifying 7x = 6(x + 7) Reorder the terms: 7x = 6(7 + x) 7x = (7 * 6 + x * 6) 7x = (42 + 6x) Solving 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. 7x + -6x = 42 + 6x + -6x Combine like terms: 7x + -6x = 1x 1x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 1x = 42 + 0 1x = 42 Divide each side by '1'. x = 42 Simplifying x = 42
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