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Simplifying 0.083x + -0.334 + 0.001(5 + -1x) = 0.209 0.083x + -0.334 + (5 * 0.001 + -1x * 0.001) = 0.209 0.083x + -0.334 + (0.005 + -0.001x) = 0.209 Reorder the terms: -0.334 + 0.005 + 0.083x + -0.001x = 0.209 Combine like terms: -0.334 + 0.005 = -0.329 -0.329 + 0.083x + -0.001x = 0.209 Combine like terms: 0.083x + -0.001x = 0.082x -0.329 + 0.082x = 0.209 Solving -0.329 + 0.082x = 0.209 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.329' to each side of the equation. -0.329 + 0.329 + 0.082x = 0.209 + 0.329 Combine like terms: -0.329 + 0.329 = 0.000 0.000 + 0.082x = 0.209 + 0.329 0.082x = 0.209 + 0.329 Combine like terms: 0.209 + 0.329 = 0.538 0.082x = 0.538 Divide each side by '0.082'. x = 6.56097561 Simplifying x = 6.56097561
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