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Simplifying 2y + 4x = 3(y + -1x + 8) Reorder the terms: 4x + 2y = 3(y + -1x + 8) Reorder the terms: 4x + 2y = 3(8 + -1x + y) 4x + 2y = (8 * 3 + -1x * 3 + y * 3) 4x + 2y = (24 + -3x + 3y) Solving 4x + 2y = 24 + -3x + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 4x + 3x + 2y = 24 + -3x + 3x + 3y Combine like terms: 4x + 3x = 7x 7x + 2y = 24 + -3x + 3x + 3y Combine like terms: -3x + 3x = 0 7x + 2y = 24 + 0 + 3y 7x + 2y = 24 + 3y Add '-2y' to each side of the equation. 7x + 2y + -2y = 24 + 3y + -2y Combine like terms: 2y + -2y = 0 7x + 0 = 24 + 3y + -2y 7x = 24 + 3y + -2y Combine like terms: 3y + -2y = 1y 7x = 24 + 1y Divide each side by '7'. x = 3.428571429 + 0.1428571429y Simplifying x = 3.428571429 + 0.1428571429y
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