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Simplifying 4[y + -2(x + 7) + 9(y + -1x)] = 0 Reorder the terms: 4[y + -2(7 + x) + 9(y + -1x)] = 0 4[y + (7 * -2 + x * -2) + 9(y + -1x)] = 0 4[y + (-14 + -2x) + 9(y + -1x)] = 0 Reorder the terms: 4[y + -14 + -2x + 9(-1x + y)] = 0 4[y + -14 + -2x + (-1x * 9 + y * 9)] = 0 4[y + -14 + -2x + (-9x + 9y)] = 0 Reorder the terms: 4[-14 + -2x + -9x + y + 9y] = 0 Combine like terms: -2x + -9x = -11x 4[-14 + -11x + y + 9y] = 0 Combine like terms: y + 9y = 10y 4[-14 + -11x + 10y] = 0 [-14 * 4 + -11x * 4 + 10y * 4] = 0 [-56 + -44x + 40y] = 0 Solving -56 + -44x + 40y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56' to each side of the equation. -56 + -44x + 56 + 40y = 0 + 56 Reorder the terms: -56 + 56 + -44x + 40y = 0 + 56 Combine like terms: -56 + 56 = 0 0 + -44x + 40y = 0 + 56 -44x + 40y = 0 + 56 Combine like terms: 0 + 56 = 56 -44x + 40y = 56 Add '-40y' to each side of the equation. -44x + 40y + -40y = 56 + -40y Combine like terms: 40y + -40y = 0 -44x + 0 = 56 + -40y -44x = 56 + -40y Divide each side by '-44'. x = -1.272727273 + 0.9090909091y Simplifying x = -1.272727273 + 0.9090909091y
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