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Simplifying 2x + -9(x + -2) + 7(y + -2) = 0 Reorder the terms: 2x + -9(-2 + x) + 7(y + -2) = 0 2x + (-2 * -9 + x * -9) + 7(y + -2) = 0 2x + (18 + -9x) + 7(y + -2) = 0 Reorder the terms: 2x + 18 + -9x + 7(-2 + y) = 0 2x + 18 + -9x + (-2 * 7 + y * 7) = 0 2x + 18 + -9x + (-14 + 7y) = 0 Reorder the terms: 18 + -14 + 2x + -9x + 7y = 0 Combine like terms: 18 + -14 = 4 4 + 2x + -9x + 7y = 0 Combine like terms: 2x + -9x = -7x 4 + -7x + 7y = 0 Solving 4 + -7x + 7y = 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 + -7x + -4 + 7y = 0 + -4 Reorder the terms: 4 + -4 + -7x + 7y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7x + 7y = 0 + -4 -7x + 7y = 0 + -4 Combine like terms: 0 + -4 = -4 -7x + 7y = -4 Add '-7y' to each side of the equation. -7x + 7y + -7y = -4 + -7y Combine like terms: 7y + -7y = 0 -7x + 0 = -4 + -7y -7x = -4 + -7y Divide each side by '-7'. x = 0.5714285714 + y Simplifying x = 0.5714285714 + y
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