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Simplifying 0.5(10 + 8x) = 3x + 2 (10 * 0.5 + 8x * 0.5) = 3x + 2 (5 + 4x) = 3x + 2 Reorder the terms: 5 + 4x = 2 + 3x Solving 5 + 4x = 2 + 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 + 4x + -3x = 2 + 3x + -3x Combine like terms: 4x + -3x = 1x 5 + 1x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 1x = 2 + 0 5 + 1x = 2 Add '-5' to each side of the equation. 5 + -5 + 1x = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 2 + -5 1x = 2 + -5 Combine like terms: 2 + -5 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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