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Simplifying 2x + 5(x + -2y) + -5(3x + -7y) = 0 2x + (x * 5 + -2y * 5) + -5(3x + -7y) = 0 2x + (5x + -10y) + -5(3x + -7y) = 0 2x + 5x + -10y + (3x * -5 + -7y * -5) = 0 2x + 5x + -10y + (-15x + 35y) = 0 Reorder the terms: 2x + 5x + -15x + -10y + 35y = 0 Combine like terms: 2x + 5x = 7x 7x + -15x + -10y + 35y = 0 Combine like terms: 7x + -15x = -8x -8x + -10y + 35y = 0 Combine like terms: -10y + 35y = 25y -8x + 25y = 0 Solving -8x + 25y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25y' to each side of the equation. -8x + 25y + -25y = 0 + -25y Combine like terms: 25y + -25y = 0 -8x + 0 = 0 + -25y -8x = 0 + -25y Remove the zero: -8x = -25y Divide each side by '-8'. x = 3.125y Simplifying x = 3.125y
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