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Simplifying 0.5(6x + 2) = 0.2(5x + 25) Reorder the terms: 0.5(2 + 6x) = 0.2(5x + 25) (2 * 0.5 + 6x * 0.5) = 0.2(5x + 25) (1 + 3x) = 0.2(5x + 25) Reorder the terms: 1 + 3x = 0.2(25 + 5x) 1 + 3x = (25 * 0.2 + 5x * 0.2) 1 + 3x = (5 + 1x) Solving 1 + 3x = 5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1 + 3x + -1x = 5 + 1x + -1x Combine like terms: 3x + -1x = 2x 1 + 2x = 5 + 1x + -1x Combine like terms: 1x + -1x = 0 1 + 2x = 5 + 0 1 + 2x = 5 Add '-1' to each side of the equation. 1 + -1 + 2x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 5 + -1 2x = 5 + -1 Combine like terms: 5 + -1 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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