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Simplifying 0.5(x + 8) = 2x + 16 Reorder the terms: 0.5(8 + x) = 2x + 16 (8 * 0.5 + x * 0.5) = 2x + 16 (4 + 0.5x) = 2x + 16 Reorder the terms: 4 + 0.5x = 16 + 2x Solving 4 + 0.5x = 16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + 0.5x + -2x = 16 + 2x + -2x Combine like terms: 0.5x + -2x = -1.5x 4 + -1.5x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + -1.5x = 16 + 0 4 + -1.5x = 16 Add '-4' to each side of the equation. 4 + -4 + -1.5x = 16 + -4 Combine like terms: 4 + -4 = 0 0 + -1.5x = 16 + -4 -1.5x = 16 + -4 Combine like terms: 16 + -4 = 12 -1.5x = 12 Divide each side by '-1.5'. x = -8 Simplifying x = -8
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