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Simplifying 6(x + 7) + (x + -6) = 78 Reorder the terms: 6(7 + x) + (x + -6) = 78 (7 * 6 + x * 6) + (x + -6) = 78 (42 + 6x) + (x + -6) = 78 Reorder the terms: 42 + 6x + (-6 + x) = 78 Remove parenthesis around (-6 + x) 42 + 6x + -6 + x = 78 Reorder the terms: 42 + -6 + 6x + x = 78 Combine like terms: 42 + -6 = 36 36 + 6x + x = 78 Combine like terms: 6x + x = 7x 36 + 7x = 78 Solving 36 + 7x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 7x = 78 + -36 Combine like terms: 36 + -36 = 0 0 + 7x = 78 + -36 7x = 78 + -36 Combine like terms: 78 + -36 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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