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Simplifying -10(1 + -9x) + 6(x + -6) = 0 (1 * -10 + -9x * -10) + 6(x + -6) = 0 (-10 + 90x) + 6(x + -6) = 0 Reorder the terms: -10 + 90x + 6(-6 + x) = 0 -10 + 90x + (-6 * 6 + x * 6) = 0 -10 + 90x + (-36 + 6x) = 0 Reorder the terms: -10 + -36 + 90x + 6x = 0 Combine like terms: -10 + -36 = -46 -46 + 90x + 6x = 0 Combine like terms: 90x + 6x = 96x -46 + 96x = 0 Solving -46 + 96x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 96x = 0 + 46 Combine like terms: -46 + 46 = 0 0 + 96x = 0 + 46 96x = 0 + 46 Combine like terms: 0 + 46 = 46 96x = 46 Divide each side by '96'. x = 0.4791666667 Simplifying x = 0.4791666667
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