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Simplifying -10(1 + -9x) + 6(x + 10) = 0 (1 * -10 + -9x * -10) + 6(x + 10) = 0 (-10 + 90x) + 6(x + 10) = 0 Reorder the terms: -10 + 90x + 6(10 + x) = 0 -10 + 90x + (10 * 6 + x * 6) = 0 -10 + 90x + (60 + 6x) = 0 Reorder the terms: -10 + 60 + 90x + 6x = 0 Combine like terms: -10 + 60 = 50 50 + 90x + 6x = 0 Combine like terms: 90x + 6x = 96x 50 + 96x = 0 Solving 50 + 96x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 96x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 96x = 0 + -50 96x = 0 + -50 Combine like terms: 0 + -50 = -50 96x = -50 Divide each side by '96'. x = -0.5208333333 Simplifying x = -0.5208333333
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