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Simplifying 7(x + -1y) + -2(y + -1x) = 4x (x * 7 + -1y * 7) + -2(y + -1x) = 4x (7x + -7y) + -2(y + -1x) = 4x Reorder the terms: 7x + -7y + -2(-1x + y) = 4x 7x + -7y + (-1x * -2 + y * -2) = 4x 7x + -7y + (2x + -2y) = 4x Reorder the terms: 7x + 2x + -7y + -2y = 4x Combine like terms: 7x + 2x = 9x 9x + -7y + -2y = 4x Combine like terms: -7y + -2y = -9y 9x + -9y = 4x Solving 9x + -9y = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 9x + -4x + -9y = 4x + -4x Combine like terms: 9x + -4x = 5x 5x + -9y = 4x + -4x Combine like terms: 4x + -4x = 0 5x + -9y = 0 Add '9y' to each side of the equation. 5x + -9y + 9y = 0 + 9y Combine like terms: -9y + 9y = 0 5x + 0 = 0 + 9y 5x = 0 + 9y Remove the zero: 5x = 9y Divide each side by '5'. x = 1.8y Simplifying x = 1.8y
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