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Simplifying 3y + -3(2x + 4y + -3) + -2 + -1(x + 2y) = -2(3y + -1x) + 3(3x + -1y) + -1(x + -1y + -4) Reorder the terms: 3y + -3(-3 + 2x + 4y) + -2 + -1(x + 2y) = -2(3y + -1x) + 3(3x + -1y) + -1(x + -1y + -4) 3y + (-3 * -3 + 2x * -3 + 4y * -3) + -2 + -1(x + 2y) = -2(3y + -1x) + 3(3x + -1y) + -1(x + -1y + -4) 3y + (9 + -6x + -12y) + -2 + -1(x + 2y) = -2(3y + -1x) + 3(3x + -1y) + -1(x + -1y + -4) 3y + 9 + -6x + -12y + -2 + (x * -1 + 2y * -1) = -2(3y + -1x) + 3(3x + -1y) + -1(x + -1y + -4) 3y + 9 + -6x + -12y + -2 + (-1x + -2y) = -2(3y + -1x) + 3(3x + -1y) + -1(x + -1y + -4) Reorder the terms: 9 + -2 + -6x + -1x + 3y + -12y + -2y = -2(3y + -1x) + 3(3x + -1y) + -1(x + -1y + -4) Combine like terms: 9 + -2 = 7 7 + -6x + -1x + 3y + -12y + -2y = -2(3y + -1x) + 3(3x + -1y) + -1(x + -1y + -4) Combine like terms: -6x + -1x = -7x 7 + -7x + 3y + -12y + -2y = -2(3y + -1x) + 3(3x + -1y) + -1(x + -1y + -4) Combine like terms: 3y + -12y = -9y 7 + -7x + -9y + -2y = -2(3y + -1x) + 3(3x + -1y) + -1(x + -1y + -4) Combine like terms: -9y + -2y = -11y 7 + -7x + -11y = -2(3y + -1x) + 3(3x + -1y) + -1(x + -1y + -4) Reorder the terms: 7 + -7x + -11y = -2(-1x + 3y) + 3(3x + -1y) + -1(x + -1y + -4) 7 + -7x + -11y = (-1x * -2 + 3y * -2) + 3(3x + -1y) + -1(x + -1y + -4) 7 + -7x + -11y = (2x + -6y) + 3(3x + -1y) + -1(x + -1y + -4) 7 + -7x + -11y = 2x + -6y + (3x * 3 + -1y * 3) + -1(x + -1y + -4) 7 + -7x + -11y = 2x + -6y + (9x + -3y) + -1(x + -1y + -4) Reorder the terms: 7 + -7x + -11y = 2x + -6y + 9x + -3y + -1(-4 + x + -1y) 7 + -7x + -11y = 2x + -6y + 9x + -3y + (-4 * -1 + x * -1 + -1y * -1) 7 + -7x + -11y = 2x + -6y + 9x + -3y + (4 + -1x + 1y) Reorder the terms: 7 + -7x + -11y = 4 + 2x + 9x + -1x + -6y + -3y + 1y Combine like terms: 2x + 9x = 11x 7 + -7x + -11y = 4 + 11x + -1x + -6y + -3y + 1y Combine like terms: 11x + -1x = 10x 7 + -7x + -11y = 4 + 10x + -6y + -3y + 1y Combine like terms: -6y + -3y = -9y 7 + -7x + -11y = 4 + 10x + -9y + 1y Combine like terms: -9y + 1y = -8y 7 + -7x + -11y = 4 + 10x + -8y Solving 7 + -7x + -11y = 4 + 10x + -8y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 7 + -7x + -10x + -11y = 4 + 10x + -10x + -8y Combine like terms: -7x + -10x = -17x 7 + -17x + -11y = 4 + 10x + -10x + -8y Combine like terms: 10x + -10x = 0 7 + -17x + -11y = 4 + 0 + -8y 7 + -17x + -11y = 4 + -8y Add '-7' to each side of the equation. 7 + -17x + -7 + -11y = 4 + -7 + -8y Reorder the terms: 7 + -7 + -17x + -11y = 4 + -7 + -8y Combine like terms: 7 + -7 = 0 0 + -17x + -11y = 4 + -7 + -8y -17x + -11y = 4 + -7 + -8y Combine like terms: 4 + -7 = -3 -17x + -11y = -3 + -8y Add '11y' to each side of the equation. -17x + -11y + 11y = -3 + -8y + 11y Combine like terms: -11y + 11y = 0 -17x + 0 = -3 + -8y + 11y -17x = -3 + -8y + 11y Combine like terms: -8y + 11y = 3y -17x = -3 + 3y Divide each side by '-17'. x = 0.1764705882 + -0.1764705882y Simplifying x = 0.1764705882 + -0.1764705882y
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