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Simplifying -10(8 + 5x) + -1(10x + 1) = 99 (8 * -10 + 5x * -10) + -1(10x + 1) = 99 (-80 + -50x) + -1(10x + 1) = 99 Reorder the terms: -80 + -50x + -1(1 + 10x) = 99 -80 + -50x + (1 * -1 + 10x * -1) = 99 -80 + -50x + (-1 + -10x) = 99 Reorder the terms: -80 + -1 + -50x + -10x = 99 Combine like terms: -80 + -1 = -81 -81 + -50x + -10x = 99 Combine like terms: -50x + -10x = -60x -81 + -60x = 99 Solving -81 + -60x = 99 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + -60x = 99 + 81 Combine like terms: -81 + 81 = 0 0 + -60x = 99 + 81 -60x = 99 + 81 Combine like terms: 99 + 81 = 180 -60x = 180 Divide each side by '-60'. x = -3 Simplifying x = -3
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