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Simplifying 7x + -4(x + -7) + 9(y + -7) = 0 Reorder the terms: 7x + -4(-7 + x) + 9(y + -7) = 0 7x + (-7 * -4 + x * -4) + 9(y + -7) = 0 7x + (28 + -4x) + 9(y + -7) = 0 Reorder the terms: 7x + 28 + -4x + 9(-7 + y) = 0 7x + 28 + -4x + (-7 * 9 + y * 9) = 0 7x + 28 + -4x + (-63 + 9y) = 0 Reorder the terms: 28 + -63 + 7x + -4x + 9y = 0 Combine like terms: 28 + -63 = -35 -35 + 7x + -4x + 9y = 0 Combine like terms: 7x + -4x = 3x -35 + 3x + 9y = 0 Solving -35 + 3x + 9y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 3x + 35 + 9y = 0 + 35 Reorder the terms: -35 + 35 + 3x + 9y = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 3x + 9y = 0 + 35 3x + 9y = 0 + 35 Combine like terms: 0 + 35 = 35 3x + 9y = 35 Add '-9y' to each side of the equation. 3x + 9y + -9y = 35 + -9y Combine like terms: 9y + -9y = 0 3x + 0 = 35 + -9y 3x = 35 + -9y Divide each side by '3'. x = 11.66666667 + -3y Simplifying x = 11.66666667 + -3y
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