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Simplifying 10(x + -1) + 7(5x + 2) = 0 Reorder the terms: 10(-1 + x) + 7(5x + 2) = 0 (-1 * 10 + x * 10) + 7(5x + 2) = 0 (-10 + 10x) + 7(5x + 2) = 0 Reorder the terms: -10 + 10x + 7(2 + 5x) = 0 -10 + 10x + (2 * 7 + 5x * 7) = 0 -10 + 10x + (14 + 35x) = 0 Reorder the terms: -10 + 14 + 10x + 35x = 0 Combine like terms: -10 + 14 = 4 4 + 10x + 35x = 0 Combine like terms: 10x + 35x = 45x 4 + 45x = 0 Solving 4 + 45x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 45x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 45x = 0 + -4 45x = 0 + -4 Combine like terms: 0 + -4 = -4 45x = -4 Divide each side by '45'. x = -0.08888888889 Simplifying x = -0.08888888889
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