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Simplifying 0.2(-0.84 + -6x) = -0.8x (-0.84 * 0.2 + -6x * 0.2) = -0.8x (-0.168 + -1.2x) = -0.8x Solving -0.168 + -1.2x = -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. -0.168 + -1.2x + 0.8x = -0.8x + 0.8x Combine like terms: -1.2x + 0.8x = -0.4x -0.168 + -0.4x = -0.8x + 0.8x Combine like terms: -0.8x + 0.8x = 0.0 -0.168 + -0.4x = 0.0 Add '0.168' to each side of the equation. -0.168 + 0.168 + -0.4x = 0.0 + 0.168 Combine like terms: -0.168 + 0.168 = 0.000 0.000 + -0.4x = 0.0 + 0.168 -0.4x = 0.0 + 0.168 Combine like terms: 0.0 + 0.168 = 0.168 -0.4x = 0.168 Divide each side by '-0.4'. x = -0.42 Simplifying x = -0.42
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