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Simplifying 46.6 + -6.2x = 5.8x + 28.6 Reorder the terms: 46.6 + -6.2x = 28.6 + 5.8x Solving 46.6 + -6.2x = 28.6 + 5.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.8x' to each side of the equation. 46.6 + -6.2x + -5.8x = 28.6 + 5.8x + -5.8x Combine like terms: -6.2x + -5.8x = -12x 46.6 + -12x = 28.6 + 5.8x + -5.8x Combine like terms: 5.8x + -5.8x = 0.0 46.6 + -12x = 28.6 + 0.0 46.6 + -12x = 28.6 Add '-46.6' to each side of the equation. 46.6 + -46.6 + -12x = 28.6 + -46.6 Combine like terms: 46.6 + -46.6 = 0.0 0.0 + -12x = 28.6 + -46.6 -12x = 28.6 + -46.6 Combine like terms: 28.6 + -46.6 = -18 -12x = -18 Divide each side by '-12'. x = 1.5 Simplifying x = 1.5
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