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Simplifying 4x + -1[5y + 2(6x + -1y) + -3(x + -5y + -3) + -7] = 0 4x + -1[5y + (6x * 2 + -1y * 2) + -3(x + -5y + -3) + -7] = 0 4x + -1[5y + (12x + -2y) + -3(x + -5y + -3) + -7] = 0 Reorder the terms: 4x + -1[5y + 12x + -2y + -3(-3 + x + -5y) + -7] = 0 4x + -1[5y + 12x + -2y + (-3 * -3 + x * -3 + -5y * -3) + -7] = 0 4x + -1[5y + 12x + -2y + (9 + -3x + 15y) + -7] = 0 Reorder the terms: 4x + -1[9 + -7 + 12x + -3x + 5y + -2y + 15y] = 0 Combine like terms: 9 + -7 = 2 4x + -1[2 + 12x + -3x + 5y + -2y + 15y] = 0 Combine like terms: 12x + -3x = 9x 4x + -1[2 + 9x + 5y + -2y + 15y] = 0 Combine like terms: 5y + -2y = 3y 4x + -1[2 + 9x + 3y + 15y] = 0 Combine like terms: 3y + 15y = 18y 4x + -1[2 + 9x + 18y] = 0 4x + [2 * -1 + 9x * -1 + 18y * -1] = 0 4x + [-2 + -9x + -18y] = 0 Reorder the terms: -2 + 4x + -9x + -18y = 0 Combine like terms: 4x + -9x = -5x -2 + -5x + -18y = 0 Solving -2 + -5x + -18y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -5x + 2 + -18y = 0 + 2 Reorder the terms: -2 + 2 + -5x + -18y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5x + -18y = 0 + 2 -5x + -18y = 0 + 2 Combine like terms: 0 + 2 = 2 -5x + -18y = 2 Add '18y' to each side of the equation. -5x + -18y + 18y = 2 + 18y Combine like terms: -18y + 18y = 0 -5x + 0 = 2 + 18y -5x = 2 + 18y Divide each side by '-5'. x = -0.4 + -3.6y Simplifying x = -0.4 + -3.6y
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