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Simplifying (3.5x + -10) + x + x + 1.5x = 74 Reorder the terms: (-10 + 3.5x) + x + x + 1.5x = 74 Remove parenthesis around (-10 + 3.5x) -10 + 3.5x + x + x + 1.5x = 74 Combine like terms: 3.5x + x = 4.5x -10 + 4.5x + x + 1.5x = 74 Combine like terms: 4.5x + x = 5.5x -10 + 5.5x + 1.5x = 74 Combine like terms: 5.5x + 1.5x = 7x -10 + 7x = 74 Solving -10 + 7x = 74 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 7x = 74 + 10 Combine like terms: -10 + 10 = 0 0 + 7x = 74 + 10 7x = 74 + 10 Combine like terms: 74 + 10 = 84 7x = 84 Divide each side by '7'. x = 12 Simplifying x = 12
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