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Simplifying 2(x + 7) + -3(2y + -4) = 0 Reorder the terms: 2(7 + x) + -3(2y + -4) = 0 (7 * 2 + x * 2) + -3(2y + -4) = 0 (14 + 2x) + -3(2y + -4) = 0 Reorder the terms: 14 + 2x + -3(-4 + 2y) = 0 14 + 2x + (-4 * -3 + 2y * -3) = 0 14 + 2x + (12 + -6y) = 0 Reorder the terms: 14 + 12 + 2x + -6y = 0 Combine like terms: 14 + 12 = 26 26 + 2x + -6y = 0 Solving 26 + 2x + -6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + 2x + -26 + -6y = 0 + -26 Reorder the terms: 26 + -26 + 2x + -6y = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 2x + -6y = 0 + -26 2x + -6y = 0 + -26 Combine like terms: 0 + -26 = -26 2x + -6y = -26 Add '6y' to each side of the equation. 2x + -6y + 6y = -26 + 6y Combine like terms: -6y + 6y = 0 2x + 0 = -26 + 6y 2x = -26 + 6y Divide each side by '2'. x = -13 + 3y Simplifying x = -13 + 3y
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