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Simplifying 46.6 + 6x = 48.6 + 5.4x Solving 46.6 + 6x = 48.6 + 5.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.4x' to each side of the equation. 46.6 + 6x + -5.4x = 48.6 + 5.4x + -5.4x Combine like terms: 6x + -5.4x = 0.6x 46.6 + 0.6x = 48.6 + 5.4x + -5.4x Combine like terms: 5.4x + -5.4x = 0.0 46.6 + 0.6x = 48.6 + 0.0 46.6 + 0.6x = 48.6 Add '-46.6' to each side of the equation. 46.6 + -46.6 + 0.6x = 48.6 + -46.6 Combine like terms: 46.6 + -46.6 = 0.0 0.0 + 0.6x = 48.6 + -46.6 0.6x = 48.6 + -46.6 Combine like terms: 48.6 + -46.6 = 2 0.6x = 2 Divide each side by '0.6'. x = 3.333333333 Simplifying x = 3.333333333
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