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Simplifying 0.5(x + 10) = 3x Reorder the terms: 0.5(10 + x) = 3x (10 * 0.5 + x * 0.5) = 3x (5 + 0.5x) = 3x Solving 5 + 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. 5 + 0.5x + -3x = 3x + -3x Combine like terms: 0.5x + -3x = -2.5x 5 + -2.5x = 3x + -3x Combine like terms: 3x + -3x = 0 5 + -2.5x = 0 Add '-5' to each side of the equation. 5 + -5 + -2.5x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2.5x = 0 + -5 -2.5x = 0 + -5 Combine like terms: 0 + -5 = -5 -2.5x = -5 Divide each side by '-2.5'. x = 2 Simplifying x = 2
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