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Simplifying 0.5x + 0.6 = 0.2x + -0.9 Reorder the terms: 0.6 + 0.5x = 0.2x + -0.9 Reorder the terms: 0.6 + 0.5x = -0.9 + 0.2x Solving 0.6 + 0.5x = -0.9 + 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. 0.6 + 0.5x + -0.2x = -0.9 + 0.2x + -0.2x Combine like terms: 0.5x + -0.2x = 0.3x 0.6 + 0.3x = -0.9 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 0.6 + 0.3x = -0.9 + 0.0 0.6 + 0.3x = -0.9 Add '-0.6' to each side of the equation. 0.6 + -0.6 + 0.3x = -0.9 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.3x = -0.9 + -0.6 0.3x = -0.9 + -0.6 Combine like terms: -0.9 + -0.6 = -1.5 0.3x = -1.5 Divide each side by '0.3'. x = -5 Simplifying x = -5
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