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Simplifying (8x + 7x) + (4x + -1) = 78 Combine like terms: 8x + 7x = 15x (15x) + (4x + -1) = 78 (15x) + (4x + -1) = 78 Reorder the terms: (15x) + (-1 + 4x) = 78 Remove parenthesis around (-1 + 4x) (15x) + -1 + 4x = 78 Reorder the terms: -1 + (15x) + 4x = 78 Combine like terms: (15x) + 4x = 19x -1 + 19x = 78 Solving -1 + 19x = 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 + 19x = 78 + 1 Combine like terms: -1 + 1 = 0 0 + 19x = 78 + 1 19x = 78 + 1 Combine like terms: 78 + 1 = 79 19x = 79 Divide each side by '19'. x = 4.157894737 Simplifying x = 4.157894737
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