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Simplifying 0.5x + 4 = 2(x + 2) Reorder the terms: 4 + 0.5x = 2(x + 2) Reorder the terms: 4 + 0.5x = 2(2 + x) 4 + 0.5x = (2 * 2 + x * 2) 4 + 0.5x = (4 + 2x) Add '-4' to each side of the equation. 4 + -4 + 0.5x = 4 + -4 + 2x Combine like terms: 4 + -4 = 0 0 + 0.5x = 4 + -4 + 2x 0.5x = 4 + -4 + 2x Combine like terms: 4 + -4 = 0 0.5x = 0 + 2x 0.5x = 2x Solving 0.5x = 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. 0.5x + -2x = 2x + -2x Combine like terms: 0.5x + -2x = -1.5x -1.5x = 2x + -2x Combine like terms: 2x + -2x = 0 -1.5x = 0 Divide each side by '-1.5'. x = 0 Simplifying x = 0
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