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Simplifying 0.31x + -0.1(0.02 + -0.2x) = 0.064x 0.31x + (0.02 * -0.1 + -0.2x * -0.1) = 0.064x 0.31x + (-0.002 + 0.02x) = 0.064x Reorder the terms: -0.002 + 0.31x + 0.02x = 0.064x Combine like terms: 0.31x + 0.02x = 0.33x -0.002 + 0.33x = 0.064x Solving -0.002 + 0.33x = 0.064x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.064x' to each side of the equation. -0.002 + 0.33x + -0.064x = 0.064x + -0.064x Combine like terms: 0.33x + -0.064x = 0.266x -0.002 + 0.266x = 0.064x + -0.064x Combine like terms: 0.064x + -0.064x = 0.000 -0.002 + 0.266x = 0.000 Add '0.002' to each side of the equation. -0.002 + 0.002 + 0.266x = 0.000 + 0.002 Combine like terms: -0.002 + 0.002 = 0.000 0.000 + 0.266x = 0.000 + 0.002 0.266x = 0.000 + 0.002 Combine like terms: 0.000 + 0.002 = 0.002 0.266x = 0.002 Divide each side by '0.266'. x = 0.007518796992 Simplifying x = 0.007518796992
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