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Simplifying 3x + 2(x + -4y) = 2x + -1y 3x + (x * 2 + -4y * 2) = 2x + -1y 3x + (2x + -8y) = 2x + -1y Combine like terms: 3x + 2x = 5x 5x + -8y = 2x + -1y Solving 5x + -8y = 2x + -1y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5x + -2x + -8y = 2x + -2x + -1y Combine like terms: 5x + -2x = 3x 3x + -8y = 2x + -2x + -1y Combine like terms: 2x + -2x = 0 3x + -8y = 0 + -1y 3x + -8y = -1y Add '8y' to each side of the equation. 3x + -8y + 8y = -1y + 8y Combine like terms: -8y + 8y = 0 3x + 0 = -1y + 8y 3x = -1y + 8y Combine like terms: -1y + 8y = 7y 3x = 7y Divide each side by '3'. x = 2.333333333y Simplifying x = 2.333333333y
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