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Simplifying 0.5x + 0.6 = -0.4x Reorder the terms: 0.6 + 0.5x = -0.4x Solving 0.6 + 0.5x = -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. 0.6 + 0.5x + 0.4x = -0.4x + 0.4x Combine like terms: 0.5x + 0.4x = 0.9x 0.6 + 0.9x = -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 0.6 + 0.9x = 0.0 Add '-0.6' to each side of the equation. 0.6 + -0.6 + 0.9x = 0.0 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.9x = 0.0 + -0.6 0.9x = 0.0 + -0.6 Combine like terms: 0.0 + -0.6 = -0.6 0.9x = -0.6 Divide each side by '0.9'. x = -0.6666666667 Simplifying x = -0.6666666667
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