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Simplifying 0.3(0.27 + -2x) = -0.4x (0.27 * 0.3 + -2x * 0.3) = -0.4x (0.081 + -0.6x) = -0.4x Solving 0.081 + -0.6x = -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. 0.081 + -0.6x + 0.4x = -0.4x + 0.4x Combine like terms: -0.6x + 0.4x = -0.2x 0.081 + -0.2x = -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 0.081 + -0.2x = 0.0 Add '-0.081' to each side of the equation. 0.081 + -0.081 + -0.2x = 0.0 + -0.081 Combine like terms: 0.081 + -0.081 = 0.000 0.000 + -0.2x = 0.0 + -0.081 -0.2x = 0.0 + -0.081 Combine like terms: 0.0 + -0.081 = -0.081 -0.2x = -0.081 Divide each side by '-0.2'. x = 0.405 Simplifying x = 0.405
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