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Simplifying -10(5x + 7) + -5(9x + 2) = 0 Reorder the terms: -10(7 + 5x) + -5(9x + 2) = 0 (7 * -10 + 5x * -10) + -5(9x + 2) = 0 (-70 + -50x) + -5(9x + 2) = 0 Reorder the terms: -70 + -50x + -5(2 + 9x) = 0 -70 + -50x + (2 * -5 + 9x * -5) = 0 -70 + -50x + (-10 + -45x) = 0 Reorder the terms: -70 + -10 + -50x + -45x = 0 Combine like terms: -70 + -10 = -80 -80 + -50x + -45x = 0 Combine like terms: -50x + -45x = -95x -80 + -95x = 0 Solving -80 + -95x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '80' to each side of the equation. -80 + 80 + -95x = 0 + 80 Combine like terms: -80 + 80 = 0 0 + -95x = 0 + 80 -95x = 0 + 80 Combine like terms: 0 + 80 = 80 -95x = 80 Divide each side by '-95'. x = -0.8421052632 Simplifying x = -0.8421052632
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