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Simplifying (0.5)(2x + 32) = 5x Reorder the terms: 0.5(32 + 2x) = 5x (32 * 0.5 + 2x * 0.5) = 5x (16 + 1x) = 5x Solving 16 + 1x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 16 + 1x + -5x = 5x + -5x Combine like terms: 1x + -5x = -4x 16 + -4x = 5x + -5x Combine like terms: 5x + -5x = 0 16 + -4x = 0 Add '-16' to each side of the equation. 16 + -16 + -4x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -4x = 0 + -16 -4x = 0 + -16 Combine like terms: 0 + -16 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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