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Simplifying 46.5 = 6x + 10.5 Reorder the terms: 46.5 = 10.5 + 6x Solving 46.5 = 10.5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 46.5 + -6x = 10.5 + 6x + -6x Combine like terms: 6x + -6x = 0 46.5 + -6x = 10.5 + 0 46.5 + -6x = 10.5 Add '-46.5' to each side of the equation. 46.5 + -46.5 + -6x = 10.5 + -46.5 Combine like terms: 46.5 + -46.5 = 0.0 0.0 + -6x = 10.5 + -46.5 -6x = 10.5 + -46.5 Combine like terms: 10.5 + -46.5 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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