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Simplifying 6x + 7y = 2(5x + y) 6x + 7y = (5x * 2 + y * 2) 6x + 7y = (10x + 2y) Solving 6x + 7y = 10x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 6x + -10x + 7y = 10x + -10x + 2y Combine like terms: 6x + -10x = -4x -4x + 7y = 10x + -10x + 2y Combine like terms: 10x + -10x = 0 -4x + 7y = 0 + 2y -4x + 7y = 2y Add '-7y' to each side of the equation. -4x + 7y + -7y = 2y + -7y Combine like terms: 7y + -7y = 0 -4x + 0 = 2y + -7y -4x = 2y + -7y Combine like terms: 2y + -7y = -5y -4x = -5y Divide each side by '-4'. x = 1.25y Simplifying x = 1.25y
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