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Simplifying 46.5 = 0.5x * 18.6 Reorder the terms for easier multiplication: 46.5 = 0.5 * 18.6x Multiply 0.5 * 18.6 46.5 = 9.3x Solving 46.5 = 9.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.3x' to each side of the equation. 46.5 + -9.3x = 9.3x + -9.3x Combine like terms: 9.3x + -9.3x = 0.0 46.5 + -9.3x = 0.0 Add '-46.5' to each side of the equation. 46.5 + -46.5 + -9.3x = 0.0 + -46.5 Combine like terms: 46.5 + -46.5 = 0.0 0.0 + -9.3x = 0.0 + -46.5 -9.3x = 0.0 + -46.5 Combine like terms: 0.0 + -46.5 = -46.5 -9.3x = -46.5 Divide each side by '-9.3'. x = 5 Simplifying x = 5
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