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Simplifying 3x + 5 = 0.5(4x + 20) Reorder the terms: 5 + 3x = 0.5(4x + 20) Reorder the terms: 5 + 3x = 0.5(20 + 4x) 5 + 3x = (20 * 0.5 + 4x * 0.5) 5 + 3x = (10 + 2x) Solving 5 + 3x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + 3x + -2x = 10 + 2x + -2x Combine like terms: 3x + -2x = 1x 5 + 1x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 1x = 10 + 0 5 + 1x = 10 Add '-5' to each side of the equation. 5 + -5 + 1x = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 10 + -5 1x = 10 + -5 Combine like terms: 10 + -5 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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