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Simplifying (5x + -2y + 4) + -1(x + 7y) = 0 Reorder the terms: (4 + 5x + -2y) + -1(x + 7y) = 0 Remove parenthesis around (4 + 5x + -2y) 4 + 5x + -2y + -1(x + 7y) = 0 4 + 5x + -2y + (x * -1 + 7y * -1) = 0 4 + 5x + -2y + (-1x + -7y) = 0 Reorder the terms: 4 + 5x + -1x + -2y + -7y = 0 Combine like terms: 5x + -1x = 4x 4 + 4x + -2y + -7y = 0 Combine like terms: -2y + -7y = -9y 4 + 4x + -9y = 0 Solving 4 + 4x + -9y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 4x + -4 + -9y = 0 + -4 Reorder the terms: 4 + -4 + 4x + -9y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 4x + -9y = 0 + -4 4x + -9y = 0 + -4 Combine like terms: 0 + -4 = -4 4x + -9y = -4 Add '9y' to each side of the equation. 4x + -9y + 9y = -4 + 9y Combine like terms: -9y + 9y = 0 4x + 0 = -4 + 9y 4x = -4 + 9y Divide each side by '4'. x = -1 + 2.25y Simplifying x = -1 + 2.25y
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