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Simplifying -3[3x + -2y + (x + -2y) + -2(x + y) + -3(2x + 1)] = 0 Remove parenthesis around (x + -2y) -3[3x + -2y + x + -2y + -2(x + y) + -3(2x + 1)] = 0 -3[3x + -2y + x + -2y + (x * -2 + y * -2) + -3(2x + 1)] = 0 -3[3x + -2y + x + -2y + (-2x + -2y) + -3(2x + 1)] = 0 Reorder the terms: -3[3x + -2y + x + -2y + -2x + -2y + -3(1 + 2x)] = 0 -3[3x + -2y + x + -2y + -2x + -2y + (1 * -3 + 2x * -3)] = 0 -3[3x + -2y + x + -2y + -2x + -2y + (-3 + -6x)] = 0 Reorder the terms: -3[-3 + 3x + x + -2x + -6x + -2y + -2y + -2y] = 0 Combine like terms: 3x + x = 4x -3[-3 + 4x + -2x + -6x + -2y + -2y + -2y] = 0 Combine like terms: 4x + -2x = 2x -3[-3 + 2x + -6x + -2y + -2y + -2y] = 0 Combine like terms: 2x + -6x = -4x -3[-3 + -4x + -2y + -2y + -2y] = 0 Combine like terms: -2y + -2y = -4y -3[-3 + -4x + -4y + -2y] = 0 Combine like terms: -4y + -2y = -6y -3[-3 + -4x + -6y] = 0 [-3 * -3 + -4x * -3 + -6y * -3] = 0 [9 + 12x + 18y] = 0 Solving 9 + 12x + 18y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 12x + -9 + 18y = 0 + -9 Reorder the terms: 9 + -9 + 12x + 18y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 12x + 18y = 0 + -9 12x + 18y = 0 + -9 Combine like terms: 0 + -9 = -9 12x + 18y = -9 Add '-18y' to each side of the equation. 12x + 18y + -18y = -9 + -18y Combine like terms: 18y + -18y = 0 12x + 0 = -9 + -18y 12x = -9 + -18y Divide each side by '12'. x = -0.75 + -1.5y Simplifying x = -0.75 + -1.5y
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