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Simplifying 0.5x + -3.5 = 0.2x + -5 Reorder the terms: -3.5 + 0.5x = 0.2x + -5 Reorder the terms: -3.5 + 0.5x = -5 + 0.2x Solving -3.5 + 0.5x = -5 + 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. -3.5 + 0.5x + -0.2x = -5 + 0.2x + -0.2x Combine like terms: 0.5x + -0.2x = 0.3x -3.5 + 0.3x = -5 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -3.5 + 0.3x = -5 + 0.0 -3.5 + 0.3x = -5 Add '3.5' to each side of the equation. -3.5 + 3.5 + 0.3x = -5 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + 0.3x = -5 + 3.5 0.3x = -5 + 3.5 Combine like terms: -5 + 3.5 = -1.5 0.3x = -1.5 Divide each side by '0.3'. x = -5 Simplifying x = -5
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