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Simplifying 0.5(6 + x) * 4 = 36 Reorder the terms for easier multiplication: 0.5 * 4(6 + x) = 36 Multiply 0.5 * 4 2(6 + x) = 36 (6 * 2 + x * 2) = 36 (12 + 2x) = 36 Solving 12 + 2x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 2x = 36 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 36 + -12 2x = 36 + -12 Combine like terms: 36 + -12 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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