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Simplifying 0.2(-5.8 + 3x) = 0.8x (-5.8 * 0.2 + 3x * 0.2) = 0.8x (-1.16 + 0.6x) = 0.8x Solving -1.16 + 0.6x = 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. -1.16 + 0.6x + -0.8x = 0.8x + -0.8x Combine like terms: 0.6x + -0.8x = -0.2x -1.16 + -0.2x = 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -1.16 + -0.2x = 0.0 Add '1.16' to each side of the equation. -1.16 + 1.16 + -0.2x = 0.0 + 1.16 Combine like terms: -1.16 + 1.16 = 0.00 0.00 + -0.2x = 0.0 + 1.16 -0.2x = 0.0 + 1.16 Combine like terms: 0.0 + 1.16 = 1.16 -0.2x = 1.16 Divide each side by '-0.2'. x = -5.8 Simplifying x = -5.8
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