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Simplifying 0.5(x + 4) + 3 = 7 Reorder the terms: 0.5(4 + x) + 3 = 7 (4 * 0.5 + x * 0.5) + 3 = 7 (2 + 0.5x) + 3 = 7 Reorder the terms: 2 + 3 + 0.5x = 7 Combine like terms: 2 + 3 = 5 5 + 0.5x = 7 Solving 5 + 0.5x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 0.5x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 0.5x = 7 + -5 0.5x = 7 + -5 Combine like terms: 7 + -5 = 2 0.5x = 2 Divide each side by '0.5'. x = 4 Simplifying x = 4
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