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Simplifying 0.002(1 + -1x) + 0.08(x + -1) = 1 (1 * 0.002 + -1x * 0.002) + 0.08(x + -1) = 1 (0.002 + -0.002x) + 0.08(x + -1) = 1 Reorder the terms: 0.002 + -0.002x + 0.08(-1 + x) = 1 0.002 + -0.002x + (-1 * 0.08 + x * 0.08) = 1 0.002 + -0.002x + (-0.08 + 0.08x) = 1 Reorder the terms: 0.002 + -0.08 + -0.002x + 0.08x = 1 Combine like terms: 0.002 + -0.08 = -0.078 -0.078 + -0.002x + 0.08x = 1 Combine like terms: -0.002x + 0.08x = 0.078x -0.078 + 0.078x = 1 Solving -0.078 + 0.078x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.078' to each side of the equation. -0.078 + 0.078 + 0.078x = 1 + 0.078 Combine like terms: -0.078 + 0.078 = 0.000 0.000 + 0.078x = 1 + 0.078 0.078x = 1 + 0.078 Combine like terms: 1 + 0.078 = 1.078 0.078x = 1.078 Divide each side by '0.078'. x = 13.82051282 Simplifying x = 13.82051282
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