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Simplifying -5(5x + -10) + 4(4x + 8) = 0 Reorder the terms: -5(-10 + 5x) + 4(4x + 8) = 0 (-10 * -5 + 5x * -5) + 4(4x + 8) = 0 (50 + -25x) + 4(4x + 8) = 0 Reorder the terms: 50 + -25x + 4(8 + 4x) = 0 50 + -25x + (8 * 4 + 4x * 4) = 0 50 + -25x + (32 + 16x) = 0 Reorder the terms: 50 + 32 + -25x + 16x = 0 Combine like terms: 50 + 32 = 82 82 + -25x + 16x = 0 Combine like terms: -25x + 16x = -9x 82 + -9x = 0 Solving 82 + -9x = 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 + -9x = 0 + -82 Combine like terms: 82 + -82 = 0 0 + -9x = 0 + -82 -9x = 0 + -82 Combine like terms: 0 + -82 = -82 -9x = -82 Divide each side by '-9'. x = 9.111111111 Simplifying x = 9.111111111
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