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Simplifying 0 = 3x + -7y + 5(x + 3y) + -4(y + -2x) 0 = 3x + -7y + (x * 5 + 3y * 5) + -4(y + -2x) 0 = 3x + -7y + (5x + 15y) + -4(y + -2x) Reorder the terms: 0 = 3x + -7y + 5x + 15y + -4(-2x + y) 0 = 3x + -7y + 5x + 15y + (-2x * -4 + y * -4) 0 = 3x + -7y + 5x + 15y + (8x + -4y) Reorder the terms: 0 = 3x + 5x + 8x + -7y + 15y + -4y Combine like terms: 3x + 5x = 8x 0 = 8x + 8x + -7y + 15y + -4y Combine like terms: 8x + 8x = 16x 0 = 16x + -7y + 15y + -4y Combine like terms: -7y + 15y = 8y 0 = 16x + 8y + -4y Combine like terms: 8y + -4y = 4y 0 = 16x + 4y Solving 0 = 16x + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 0 + -16x = 16x + -16x + 4y Remove the zero: -16x = 16x + -16x + 4y Combine like terms: 16x + -16x = 0 -16x = 0 + 4y -16x = 4y Divide each side by '-16'. x = -0.25y Simplifying x = -0.25y
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