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Simplifying 5y + 2(6x + -1y) + -3(x + -5y + -3) + -7 = 0 5y + (6x * 2 + -1y * 2) + -3(x + -5y + -3) + -7 = 0 5y + (12x + -2y) + -3(x + -5y + -3) + -7 = 0 Reorder the terms: 5y + 12x + -2y + -3(-3 + x + -5y) + -7 = 0 5y + 12x + -2y + (-3 * -3 + x * -3 + -5y * -3) + -7 = 0 5y + 12x + -2y + (9 + -3x + 15y) + -7 = 0 Reorder the terms: 9 + -7 + 12x + -3x + 5y + -2y + 15y = 0 Combine like terms: 9 + -7 = 2 2 + 12x + -3x + 5y + -2y + 15y = 0 Combine like terms: 12x + -3x = 9x 2 + 9x + 5y + -2y + 15y = 0 Combine like terms: 5y + -2y = 3y 2 + 9x + 3y + 15y = 0 Combine like terms: 3y + 15y = 18y 2 + 9x + 18y = 0 Solving 2 + 9x + 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 + 9x + -2 + 18y = 0 + -2 Reorder the terms: 2 + -2 + 9x + 18y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9x + 18y = 0 + -2 9x + 18y = 0 + -2 Combine like terms: 0 + -2 = -2 9x + 18y = -2 Add '-18y' to each side of the equation. 9x + 18y + -18y = -2 + -18y Combine like terms: 18y + -18y = 0 9x + 0 = -2 + -18y 9x = -2 + -18y Divide each side by '9'. x = -0.2222222222 + -2y Simplifying x = -0.2222222222 + -2y
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