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Simplifying (5x + -8) + (7x + 10) = 0 Reorder the terms: (-8 + 5x) + (7x + 10) = 0 Remove parenthesis around (-8 + 5x) -8 + 5x + (7x + 10) = 0 Reorder the terms: -8 + 5x + (10 + 7x) = 0 Remove parenthesis around (10 + 7x) -8 + 5x + 10 + 7x = 0 Reorder the terms: -8 + 10 + 5x + 7x = 0 Combine like terms: -8 + 10 = 2 2 + 5x + 7x = 0 Combine like terms: 5x + 7x = 12x 2 + 12x = 0 Solving 2 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 12x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 12x = 0 + -2 12x = 0 + -2 Combine like terms: 0 + -2 = -2 12x = -2 Divide each side by '12'. x = -0.1666666667 Simplifying x = -0.1666666667
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