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Simplifying (8x + 7) + (4x + -1) = 78 Reorder the terms: (7 + 8x) + (4x + -1) = 78 Remove parenthesis around (7 + 8x) 7 + 8x + (4x + -1) = 78 Reorder the terms: 7 + 8x + (-1 + 4x) = 78 Remove parenthesis around (-1 + 4x) 7 + 8x + -1 + 4x = 78 Reorder the terms: 7 + -1 + 8x + 4x = 78 Combine like terms: 7 + -1 = 6 6 + 8x + 4x = 78 Combine like terms: 8x + 4x = 12x 6 + 12x = 78 Solving 6 + 12x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 12x = 78 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = 78 + -6 12x = 78 + -6 Combine like terms: 78 + -6 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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