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Simplifying 2x + 5(x + -2y) + -5(3x + -7y) = 29y + -10x 2x + (x * 5 + -2y * 5) + -5(3x + -7y) = 29y + -10x 2x + (5x + -10y) + -5(3x + -7y) = 29y + -10x 2x + 5x + -10y + (3x * -5 + -7y * -5) = 29y + -10x 2x + 5x + -10y + (-15x + 35y) = 29y + -10x Reorder the terms: 2x + 5x + -15x + -10y + 35y = 29y + -10x Combine like terms: 2x + 5x = 7x 7x + -15x + -10y + 35y = 29y + -10x Combine like terms: 7x + -15x = -8x -8x + -10y + 35y = 29y + -10x Combine like terms: -10y + 35y = 25y -8x + 25y = 29y + -10x Reorder the terms: -8x + 25y = -10x + 29y Solving -8x + 25y = -10x + 29y 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. -8x + 10x + 25y = -10x + 10x + 29y Combine like terms: -8x + 10x = 2x 2x + 25y = -10x + 10x + 29y Combine like terms: -10x + 10x = 0 2x + 25y = 0 + 29y 2x + 25y = 29y Add '-25y' to each side of the equation. 2x + 25y + -25y = 29y + -25y Combine like terms: 25y + -25y = 0 2x + 0 = 29y + -25y 2x = 29y + -25y Combine like terms: 29y + -25y = 4y 2x = 4y Divide each side by '2'. x = 2y Simplifying x = 2y
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