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Simplifying 0.5(4x + 16) = 4x Reorder the terms: 0.5(16 + 4x) = 4x (16 * 0.5 + 4x * 0.5) = 4x (8 + 2x) = 4x Solving 8 + 2x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + 2x + -4x = 4x + -4x Combine like terms: 2x + -4x = -2x 8 + -2x = 4x + -4x Combine like terms: 4x + -4x = 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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