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