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Simplifying 0.5x + 4 = 0.2x + -6 Reorder the terms: 4 + 0.5x = 0.2x + -6 Reorder the terms: 4 + 0.5x = -6 + 0.2x Solving 4 + 0.5x = -6 + 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. 4 + 0.5x + -0.2x = -6 + 0.2x + -0.2x Combine like terms: 0.5x + -0.2x = 0.3x 4 + 0.3x = -6 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 4 + 0.3x = -6 + 0.0 4 + 0.3x = -6 Add '-4' to each side of the equation. 4 + -4 + 0.3x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 0.3x = -6 + -4 0.3x = -6 + -4 Combine like terms: -6 + -4 = -10 0.3x = -10 Divide each side by '0.3'. x = -33.33333333 Simplifying x = -33.33333333
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