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Simplifying -0.833x + -10 = 0.166x + -6 Reorder the terms: -10 + -0.833x = 0.166x + -6 Reorder the terms: -10 + -0.833x = -6 + 0.166x Solving -10 + -0.833x = -6 + 0.166x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.166x' to each side of the equation. -10 + -0.833x + -0.166x = -6 + 0.166x + -0.166x Combine like terms: -0.833x + -0.166x = -0.999x -10 + -0.999x = -6 + 0.166x + -0.166x Combine like terms: 0.166x + -0.166x = 0.000 -10 + -0.999x = -6 + 0.000 -10 + -0.999x = -6 Add '10' to each side of the equation. -10 + 10 + -0.999x = -6 + 10 Combine like terms: -10 + 10 = 0 0 + -0.999x = -6 + 10 -0.999x = -6 + 10 Combine like terms: -6 + 10 = 4 -0.999x = 4 Divide each side by '-0.999'. x = -4.004004004 Simplifying x = -4.004004004
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