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Simplifying 0.4x + 2 + -0.6x + 0.6 = 6 Reorder the terms: 2 + 0.6 + 0.4x + -0.6x = 6 Combine like terms: 2 + 0.6 = 2.6 2.6 + 0.4x + -0.6x = 6 Combine like terms: 0.4x + -0.6x = -0.2x 2.6 + -0.2x = 6 Solving 2.6 + -0.2x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.6' to each side of the equation. 2.6 + -2.6 + -0.2x = 6 + -2.6 Combine like terms: 2.6 + -2.6 = 0.0 0.0 + -0.2x = 6 + -2.6 -0.2x = 6 + -2.6 Combine like terms: 6 + -2.6 = 3.4 -0.2x = 3.4 Divide each side by '-0.2'. x = -17 Simplifying x = -17
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