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Simplifying -10(1 + -9x) + 6(x + -10) * 0(1 + -9x) + 6(x + -10) = 0 (1 * -10 + -9x * -10) + 6(x + -10) * 0(1 + -9x) + 6(x + -10) = 0 (-10 + 90x) + 6(x + -10) * 0(1 + -9x) + 6(x + -10) = 0 Reorder the terms: -10 + 90x + 6(-10 + x) * 0(1 + -9x) + 6(x + -10) = 0 Reorder the terms for easier multiplication: -10 + 90x + 6 * 0(-10 + x)(1 + -9x) + 6(x + -10) = 0 Multiply 6 * 0 -10 + 90x + 0(-10 + x)(1 + -9x) + 6(x + -10) = 0 Anything times zero is zero. -10 + 90x + 0(-10 + x)(1 + -9x) + 6(x + -10) = 0 Reorder the terms: -10 + 90x + 0 + 6(-10 + x) = 0 -10 + 90x + 0 + (-10 * 6 + x * 6) = 0 -10 + 90x + 0 + (-60 + 6x) = 0 Reorder the terms: -10 + 0 + -60 + 90x + 6x = 0 Combine like terms: -10 + 0 = -10 -10 + -60 + 90x + 6x = 0 Combine like terms: -10 + -60 = -70 -70 + 90x + 6x = 0 Combine like terms: 90x + 6x = 96x -70 + 96x = 0 Solving -70 + 96x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 70 + 96x = 0 + 70 Combine like terms: -70 + 70 = 0 0 + 96x = 0 + 70 96x = 0 + 70 Combine like terms: 0 + 70 = 70 96x = 70 Divide each side by '96'. x = 0.7291666667 Simplifying x = 0.7291666667
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