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Simplifying 0.5x + 3 = 0.3x + -5 Reorder the terms: 3 + 0.5x = 0.3x + -5 Reorder the terms: 3 + 0.5x = -5 + 0.3x Solving 3 + 0.5x = -5 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 3 + 0.5x + -0.3x = -5 + 0.3x + -0.3x Combine like terms: 0.5x + -0.3x = 0.2x 3 + 0.2x = -5 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 3 + 0.2x = -5 + 0.0 3 + 0.2x = -5 Add '-3' to each side of the equation. 3 + -3 + 0.2x = -5 + -3 Combine like terms: 3 + -3 = 0 0 + 0.2x = -5 + -3 0.2x = -5 + -3 Combine like terms: -5 + -3 = -8 0.2x = -8 Divide each side by '0.2'. x = -40 Simplifying x = -40
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