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Simplifying -10(7x + 9) + 2(10x + 4) = 0 Reorder the terms: -10(9 + 7x) + 2(10x + 4) = 0 (9 * -10 + 7x * -10) + 2(10x + 4) = 0 (-90 + -70x) + 2(10x + 4) = 0 Reorder the terms: -90 + -70x + 2(4 + 10x) = 0 -90 + -70x + (4 * 2 + 10x * 2) = 0 -90 + -70x + (8 + 20x) = 0 Reorder the terms: -90 + 8 + -70x + 20x = 0 Combine like terms: -90 + 8 = -82 -82 + -70x + 20x = 0 Combine like terms: -70x + 20x = -50x -82 + -50x = 0 Solving -82 + -50x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '82' to each side of the equation. -82 + 82 + -50x = 0 + 82 Combine like terms: -82 + 82 = 0 0 + -50x = 0 + 82 -50x = 0 + 82 Combine like terms: 0 + 82 = 82 -50x = 82 Divide each side by '-50'. x = -1.64 Simplifying x = -1.64
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