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Simplifying (2(x + -3) + -3(y + 1) + -1) + (5(x + -2) + 2y + 4) = 0 Reorder the terms: (2(-3 + x) + -3(y + 1) + -1) + (5(x + -2) + 2y + 4) = 0 ((-3 * 2 + x * 2) + -3(y + 1) + -1) + (5(x + -2) + 2y + 4) = 0 ((-6 + 2x) + -3(y + 1) + -1) + (5(x + -2) + 2y + 4) = 0 Reorder the terms: (-6 + 2x + -3(1 + y) + -1) + (5(x + -2) + 2y + 4) = 0 (-6 + 2x + (1 * -3 + y * -3) + -1) + (5(x + -2) + 2y + 4) = 0 (-6 + 2x + (-3 + -3y) + -1) + (5(x + -2) + 2y + 4) = 0 Reorder the terms: (-6 + -3 + -1 + 2x + -3y) + (5(x + -2) + 2y + 4) = 0 Combine like terms: -6 + -3 = -9 (-9 + -1 + 2x + -3y) + (5(x + -2) + 2y + 4) = 0 Combine like terms: -9 + -1 = -10 (-10 + 2x + -3y) + (5(x + -2) + 2y + 4) = 0 Remove parenthesis around (-10 + 2x + -3y) -10 + 2x + -3y + (5(x + -2) + 2y + 4) = 0 Reorder the terms: -10 + 2x + -3y + (5(-2 + x) + 2y + 4) = 0 -10 + 2x + -3y + ((-2 * 5 + x * 5) + 2y + 4) = 0 -10 + 2x + -3y + ((-10 + 5x) + 2y + 4) = 0 Reorder the terms: -10 + 2x + -3y + (-10 + 4 + 5x + 2y) = 0 Combine like terms: -10 + 4 = -6 -10 + 2x + -3y + (-6 + 5x + 2y) = 0 Remove parenthesis around (-6 + 5x + 2y) -10 + 2x + -3y + -6 + 5x + 2y = 0 Reorder the terms: -10 + -6 + 2x + 5x + -3y + 2y = 0 Combine like terms: -10 + -6 = -16 -16 + 2x + 5x + -3y + 2y = 0 Combine like terms: 2x + 5x = 7x -16 + 7x + -3y + 2y = 0 Combine like terms: -3y + 2y = -1y -16 + 7x + -1y = 0 Solving -16 + 7x + -1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 7x + 16 + -1y = 0 + 16 Reorder the terms: -16 + 16 + 7x + -1y = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 7x + -1y = 0 + 16 7x + -1y = 0 + 16 Combine like terms: 0 + 16 = 16 7x + -1y = 16 Add 'y' to each side of the equation. 7x + -1y + y = 16 + y Combine like terms: -1y + y = 0 7x + 0 = 16 + y 7x = 16 + y Divide each side by '7'. x = 2.285714286 + 0.1428571429y Simplifying x = 2.285714286 + 0.1428571429y
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