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Simplifying 0.5(4x + 10) = 5(4 + x) Reorder the terms: 0.5(10 + 4x) = 5(4 + x) (10 * 0.5 + 4x * 0.5) = 5(4 + x) (5 + 2x) = 5(4 + x) 5 + 2x = (4 * 5 + x * 5) 5 + 2x = (20 + 5x) Solving 5 + 2x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 5 + 2x + -5x = 20 + 5x + -5x Combine like terms: 2x + -5x = -3x 5 + -3x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -3x = 20 + 0 5 + -3x = 20 Add '-5' to each side of the equation. 5 + -5 + -3x = 20 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 20 + -5 -3x = 20 + -5 Combine like terms: 20 + -5 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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