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Simplifying -0.4(-0.08 + -2x) = 0.9x (-0.08 * -0.4 + -2x * -0.4) = 0.9x (0.032 + 0.8x) = 0.9x Solving 0.032 + 0.8x = 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 0.032 + 0.8x + -0.9x = 0.9x + -0.9x Combine like terms: 0.8x + -0.9x = -0.1x 0.032 + -0.1x = 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 0.032 + -0.1x = 0.0 Add '-0.032' to each side of the equation. 0.032 + -0.032 + -0.1x = 0.0 + -0.032 Combine like terms: 0.032 + -0.032 = 0.000 0.000 + -0.1x = 0.0 + -0.032 -0.1x = 0.0 + -0.032 Combine like terms: 0.0 + -0.032 = -0.032 -0.1x = -0.032 Divide each side by '-0.1'. x = 0.32 Simplifying x = 0.32
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