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Simplifying (4x + 7) + (7x + -6) = 78 Reorder the terms: (7 + 4x) + (7x + -6) = 78 Remove parenthesis around (7 + 4x) 7 + 4x + (7x + -6) = 78 Reorder the terms: 7 + 4x + (-6 + 7x) = 78 Remove parenthesis around (-6 + 7x) 7 + 4x + -6 + 7x = 78 Reorder the terms: 7 + -6 + 4x + 7x = 78 Combine like terms: 7 + -6 = 1 1 + 4x + 7x = 78 Combine like terms: 4x + 7x = 11x 1 + 11x = 78 Solving 1 + 11x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 11x = 78 + -1 Combine like terms: 1 + -1 = 0 0 + 11x = 78 + -1 11x = 78 + -1 Combine like terms: 78 + -1 = 77 11x = 77 Divide each side by '11'. x = 7 Simplifying x = 7
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