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Simplifying 0.13 + 0.6x = 0.46 + 0.66x Solving 0.13 + 0.6x = 0.46 + 0.66x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.66x' to each side of the equation. 0.13 + 0.6x + -0.66x = 0.46 + 0.66x + -0.66x Combine like terms: 0.6x + -0.66x = -0.06x 0.13 + -0.06x = 0.46 + 0.66x + -0.66x Combine like terms: 0.66x + -0.66x = 0.00 0.13 + -0.06x = 0.46 + 0.00 0.13 + -0.06x = 0.46 Add '-0.13' to each side of the equation. 0.13 + -0.13 + -0.06x = 0.46 + -0.13 Combine like terms: 0.13 + -0.13 = 0.00 0.00 + -0.06x = 0.46 + -0.13 -0.06x = 0.46 + -0.13 Combine like terms: 0.46 + -0.13 = 0.33 -0.06x = 0.33 Divide each side by '-0.06'. x = -5.5 Simplifying x = -5.5
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