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Simplifying -0.4(0.2x + -0.5) = 1.8x + -0.3 Reorder the terms: -0.4(-0.5 + 0.2x) = 1.8x + -0.3 (-0.5 * -0.4 + 0.2x * -0.4) = 1.8x + -0.3 (0.2 + -0.08x) = 1.8x + -0.3 Reorder the terms: 0.2 + -0.08x = -0.3 + 1.8x Solving 0.2 + -0.08x = -0.3 + 1.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.8x' to each side of the equation. 0.2 + -0.08x + -1.8x = -0.3 + 1.8x + -1.8x Combine like terms: -0.08x + -1.8x = -1.88x 0.2 + -1.88x = -0.3 + 1.8x + -1.8x Combine like terms: 1.8x + -1.8x = 0.0 0.2 + -1.88x = -0.3 + 0.0 0.2 + -1.88x = -0.3 Add '-0.2' to each side of the equation. 0.2 + -0.2 + -1.88x = -0.3 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -1.88x = -0.3 + -0.2 -1.88x = -0.3 + -0.2 Combine like terms: -0.3 + -0.2 = -0.5 -1.88x = -0.5 Divide each side by '-1.88'. x = 0.2659574468 Simplifying x = 0.2659574468
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