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Simplifying 3x + 20 = 0.5(4x + 50) Reorder the terms: 20 + 3x = 0.5(4x + 50) Reorder the terms: 20 + 3x = 0.5(50 + 4x) 20 + 3x = (50 * 0.5 + 4x * 0.5) 20 + 3x = (25 + 2x) Solving 20 + 3x = 25 + 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. 20 + 3x + -2x = 25 + 2x + -2x Combine like terms: 3x + -2x = 1x 20 + 1x = 25 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + 1x = 25 + 0 20 + 1x = 25 Add '-20' to each side of the equation. 20 + -20 + 1x = 25 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = 25 + -20 1x = 25 + -20 Combine like terms: 25 + -20 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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