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Simplifying 0.5(x + 20) = 3x Reorder the terms: 0.5(20 + x) = 3x (20 * 0.5 + x * 0.5) = 3x (10 + 0.5x) = 3x Solving 10 + 0.5x = 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. 10 + 0.5x + -3x = 3x + -3x Combine like terms: 0.5x + -3x = -2.5x 10 + -2.5x = 3x + -3x Combine like terms: 3x + -3x = 0 10 + -2.5x = 0 Add '-10' to each side of the equation. 10 + -10 + -2.5x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -2.5x = 0 + -10 -2.5x = 0 + -10 Combine like terms: 0 + -10 = -10 -2.5x = -10 Divide each side by '-2.5'. x = 4 Simplifying x = 4
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