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Simplifying 0.50x + 1.50x + 8 = -3x + -2 Reorder the terms: 8 + 0.50x + 1.50x = -3x + -2 Combine like terms: 0.50x + 1.50x = 2x 8 + 2x = -3x + -2 Reorder the terms: 8 + 2x = -2 + -3x Solving 8 + 2x = -2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 8 + 2x + 3x = -2 + -3x + 3x Combine like terms: 2x + 3x = 5x 8 + 5x = -2 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 5x = -2 + 0 8 + 5x = -2 Add '-8' to each side of the equation. 8 + -8 + 5x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = -2 + -8 5x = -2 + -8 Combine like terms: -2 + -8 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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