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Simplifying 6 = 0.4x + -0.5x + -2 Reorder the terms: 6 = -2 + 0.4x + -0.5x Combine like terms: 0.4x + -0.5x = -0.1x 6 = -2 + -0.1x Solving 6 = -2 + -0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1x' to each side of the equation. 6 + 0.1x = -2 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 6 + 0.1x = -2 + 0.0 6 + 0.1x = -2 Add '-6' to each side of the equation. 6 + -6 + 0.1x = -2 + -6 Combine like terms: 6 + -6 = 0 0 + 0.1x = -2 + -6 0.1x = -2 + -6 Combine like terms: -2 + -6 = -8 0.1x = -8 Divide each side by '0.1'. x = -80 Simplifying x = -80
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