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Simplifying 6 = 0.1x + -0.3x + -2 Reorder the terms: 6 = -2 + 0.1x + -0.3x Combine like terms: 0.1x + -0.3x = -0.2x 6 = -2 + -0.2x Solving 6 = -2 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. 6 + 0.2x = -2 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 6 + 0.2x = -2 + 0.0 6 + 0.2x = -2 Add '-6' to each side of the equation. 6 + -6 + 0.2x = -2 + -6 Combine like terms: 6 + -6 = 0 0 + 0.2x = -2 + -6 0.2x = -2 + -6 Combine like terms: -2 + -6 = -8 0.2x = -8 Divide each side by '0.2'. x = -40 Simplifying x = -40
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