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Simplifying 0.5(2x + 16) = 3x Reorder the terms: 0.5(16 + 2x) = 3x (16 * 0.5 + 2x * 0.5) = 3x (8 + 1x) = 3x Solving 8 + 1x = 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. 8 + 1x + -3x = 3x + -3x Combine like terms: 1x + -3x = -2x 8 + -2x = 3x + -3x Combine like terms: 3x + -3x = 0 8 + -2x = 0 Add '-8' to each side of the equation. 8 + -8 + -2x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 0 + -8 -2x = 0 + -8 Combine like terms: 0 + -8 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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