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Simplifying x + x + 1.5x + (3.5x + -6) = 78 Reorder the terms: x + x + 1.5x + (-6 + 3.5x) = 78 Remove parenthesis around (-6 + 3.5x) x + x + 1.5x + -6 + 3.5x = 78 Reorder the terms: -6 + x + x + 1.5x + 3.5x = 78 Combine like terms: x + x = 2x -6 + 2x + 1.5x + 3.5x = 78 Combine like terms: 2x + 1.5x = 3.5x -6 + 3.5x + 3.5x = 78 Combine like terms: 3.5x + 3.5x = 7x -6 + 7x = 78 Solving -6 + 7x = 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 + 7x = 78 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 78 + 6 7x = 78 + 6 Combine like terms: 78 + 6 = 84 7x = 84 Divide each side by '7'. x = 12 Simplifying x = 12
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