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Simplifying 7x + -1[-5(x + -1y) + (3x + -2y) + -3(2x + -5y)] = 0 7x + -1[(x * -5 + -1y * -5) + (3x + -2y) + -3(2x + -5y)] = 0 7x + -1[(-5x + 5y) + (3x + -2y) + -3(2x + -5y)] = 0 Remove parenthesis around (3x + -2y) 7x + -1[-5x + 5y + 3x + -2y + -3(2x + -5y)] = 0 7x + -1[-5x + 5y + 3x + -2y + (2x * -3 + -5y * -3)] = 0 7x + -1[-5x + 5y + 3x + -2y + (-6x + 15y)] = 0 Reorder the terms: 7x + -1[-5x + 3x + -6x + 5y + -2y + 15y] = 0 Combine like terms: -5x + 3x = -2x 7x + -1[-2x + -6x + 5y + -2y + 15y] = 0 Combine like terms: -2x + -6x = -8x 7x + -1[-8x + 5y + -2y + 15y] = 0 Combine like terms: 5y + -2y = 3y 7x + -1[-8x + 3y + 15y] = 0 Combine like terms: 3y + 15y = 18y 7x + -1[-8x + 18y] = 0 7x + [-8x * -1 + 18y * -1] = 0 7x + [8x + -18y] = 0 Combine like terms: 7x + 8x = 15x 15x + -18y = 0 Solving 15x + -18y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18y' to each side of the equation. 15x + -18y + 18y = 0 + 18y Combine like terms: -18y + 18y = 0 15x + 0 = 0 + 18y 15x = 0 + 18y Remove the zero: 15x = 18y Divide each side by '15'. x = 1.2y Simplifying x = 1.2y
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