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Simplifying 0.5(3x + 0.3) + -2x = 8 Reorder the terms: 0.5(0.3 + 3x) + -2x = 8 (0.3 * 0.5 + 3x * 0.5) + -2x = 8 (0.15 + 1.5x) + -2x = 8 Combine like terms: 1.5x + -2x = -0.5x 0.15 + -0.5x = 8 Solving 0.15 + -0.5x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15' to each side of the equation. 0.15 + -0.15 + -0.5x = 8 + -0.15 Combine like terms: 0.15 + -0.15 = 0.00 0.00 + -0.5x = 8 + -0.15 -0.5x = 8 + -0.15 Combine like terms: 8 + -0.15 = 7.85 -0.5x = 7.85 Divide each side by '-0.5'. x = -15.7 Simplifying x = -15.7
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