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Simplifying 7(6 + x) = 84 (6 * 7 + x * 7) = 84 (42 + 7x) = 84 Solving 42 + 7x = 84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 7x = 84 + -42 Combine like terms: 42 + -42 = 0 0 + 7x = 84 + -42 7x = 84 + -42 Combine like terms: 84 + -42 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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