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Simplifying ((3x + -5y) + 2x) * 2 = 3 + 3y(6x + 4 + -8) Remove parenthesis around (3x + -5y) (3x + -5y + 2x) * 2 = 3 + 3y(6x + 4 + -8) Reorder the terms: (3x + 2x + -5y) * 2 = 3 + 3y(6x + 4 + -8) Combine like terms: 3x + 2x = 5x (5x + -5y) * 2 = 3 + 3y(6x + 4 + -8) Reorder the terms for easier multiplication: 2(5x + -5y) = 3 + 3y(6x + 4 + -8) (5x * 2 + -5y * 2) = 3 + 3y(6x + 4 + -8) (10x + -10y) = 3 + 3y(6x + 4 + -8) Reorder the terms: 10x + -10y = 3 + 3y(4 + -8 + 6x) Combine like terms: 4 + -8 = -4 10x + -10y = 3 + 3y(-4 + 6x) 10x + -10y = 3 + (-4 * 3y + 6x * 3y) Reorder the terms: 10x + -10y = 3 + (18xy + -12y) 10x + -10y = 3 + (18xy + -12y) Solving 10x + -10y = 3 + 18xy + -12y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18xy' to each side of the equation. 10x + -18xy + -10y = 3 + 18xy + -18xy + -12y Combine like terms: 18xy + -18xy = 0 10x + -18xy + -10y = 3 + 0 + -12y 10x + -18xy + -10y = 3 + -12y Add '10y' to each side of the equation. 10x + -18xy + -10y + 10y = 3 + -12y + 10y Combine like terms: -10y + 10y = 0 10x + -18xy + 0 = 3 + -12y + 10y 10x + -18xy = 3 + -12y + 10y Combine like terms: -12y + 10y = -2y 10x + -18xy = 3 + -2y Reorder the terms: -3 + 10x + -18xy + 2y = 3 + -2y + -3 + 2y Reorder the terms: -3 + 10x + -18xy + 2y = 3 + -3 + -2y + 2y Combine like terms: 3 + -3 = 0 -3 + 10x + -18xy + 2y = 0 + -2y + 2y -3 + 10x + -18xy + 2y = -2y + 2y Combine like terms: -2y + 2y = 0 -3 + 10x + -18xy + 2y = 0 The solution to this equation could not be determined.
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