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Simplifying 6x + 2y + 0.46 = 3 Reorder the terms: 0.46 + 6x + 2y = 3 Solving 0.46 + 6x + 2y = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.46' to each side of the equation. 0.46 + 6x + -0.46 + 2y = 3 + -0.46 Reorder the terms: 0.46 + -0.46 + 6x + 2y = 3 + -0.46 Combine like terms: 0.46 + -0.46 = 0.00 0.00 + 6x + 2y = 3 + -0.46 6x + 2y = 3 + -0.46 Combine like terms: 3 + -0.46 = 2.54 6x + 2y = 2.54 Add '-2y' to each side of the equation. 6x + 2y + -2y = 2.54 + -2y Combine like terms: 2y + -2y = 0 6x + 0 = 2.54 + -2y 6x = 2.54 + -2y Divide each side by '6'. x = 0.4233333333 + -0.3333333333y Simplifying x = 0.4233333333 + -0.3333333333y
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