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Simplifying (4x + 3y) * 2 = (3x + 5y) * 4 Reorder the terms for easier multiplication: 2(4x + 3y) = (3x + 5y) * 4 (4x * 2 + 3y * 2) = (3x + 5y) * 4 (8x + 6y) = (3x + 5y) * 4 Reorder the terms for easier multiplication: 8x + 6y = 4(3x + 5y) 8x + 6y = (3x * 4 + 5y * 4) 8x + 6y = (12x + 20y) Solving 8x + 6y = 12x + 20y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 8x + -12x + 6y = 12x + -12x + 20y Combine like terms: 8x + -12x = -4x -4x + 6y = 12x + -12x + 20y Combine like terms: 12x + -12x = 0 -4x + 6y = 0 + 20y -4x + 6y = 20y Add '-6y' to each side of the equation. -4x + 6y + -6y = 20y + -6y Combine like terms: 6y + -6y = 0 -4x + 0 = 20y + -6y -4x = 20y + -6y Combine like terms: 20y + -6y = 14y -4x = 14y Divide each side by '-4'. x = -3.5y Simplifying x = -3.5y
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