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Simplifying ((3x + -1) + (7x + 1)) * 0.5 = 10 Reorder the terms: ((-1 + 3x) + (7x + 1)) * 0.5 = 10 Remove parenthesis around (-1 + 3x) (-1 + 3x + (7x + 1)) * 0.5 = 10 Reorder the terms: (-1 + 3x + (1 + 7x)) * 0.5 = 10 Remove parenthesis around (1 + 7x) (-1 + 3x + 1 + 7x) * 0.5 = 10 Reorder the terms: (-1 + 1 + 3x + 7x) * 0.5 = 10 Combine like terms: -1 + 1 = 0 (0 + 3x + 7x) * 0.5 = 10 (3x + 7x) * 0.5 = 10 Combine like terms: 3x + 7x = 10x (10x) * 0.5 = 10 Remove parenthesis around (10x) 10x * 0.5 = 10 Reorder the terms for easier multiplication: 10 * 0.5x = 10 Multiply 10 * 0.5 5x = 10 Solving 5x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '5'. x = 2 Simplifying x = 2
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