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Simplifying -0.1(-5.85 + 4x) = 0.5x (-5.85 * -0.1 + 4x * -0.1) = 0.5x (0.585 + -0.4x) = 0.5x Solving 0.585 + -0.4x = 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 0.585 + -0.4x + -0.5x = 0.5x + -0.5x Combine like terms: -0.4x + -0.5x = -0.9x 0.585 + -0.9x = 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 0.585 + -0.9x = 0.0 Add '-0.585' to each side of the equation. 0.585 + -0.585 + -0.9x = 0.0 + -0.585 Combine like terms: 0.585 + -0.585 = 0.000 0.000 + -0.9x = 0.0 + -0.585 -0.9x = 0.0 + -0.585 Combine like terms: 0.0 + -0.585 = -0.585 -0.9x = -0.585 Divide each side by '-0.9'. x = 0.65 Simplifying x = 0.65
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