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Simplifying 1 + -2(y + -2x) = 13 + 2(x + -3y) Reorder the terms: 1 + -2(-2x + y) = 13 + 2(x + -3y) 1 + (-2x * -2 + y * -2) = 13 + 2(x + -3y) 1 + (4x + -2y) = 13 + 2(x + -3y) 1 + 4x + -2y = 13 + (x * 2 + -3y * 2) 1 + 4x + -2y = 13 + (2x + -6y) Solving 1 + 4x + -2y = 13 + 2x + -6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1 + 4x + -2x + -2y = 13 + 2x + -2x + -6y Combine like terms: 4x + -2x = 2x 1 + 2x + -2y = 13 + 2x + -2x + -6y Combine like terms: 2x + -2x = 0 1 + 2x + -2y = 13 + 0 + -6y 1 + 2x + -2y = 13 + -6y Add '-1' to each side of the equation. 1 + 2x + -1 + -2y = 13 + -1 + -6y Reorder the terms: 1 + -1 + 2x + -2y = 13 + -1 + -6y Combine like terms: 1 + -1 = 0 0 + 2x + -2y = 13 + -1 + -6y 2x + -2y = 13 + -1 + -6y Combine like terms: 13 + -1 = 12 2x + -2y = 12 + -6y Add '2y' to each side of the equation. 2x + -2y + 2y = 12 + -6y + 2y Combine like terms: -2y + 2y = 0 2x + 0 = 12 + -6y + 2y 2x = 12 + -6y + 2y Combine like terms: -6y + 2y = -4y 2x = 12 + -4y Divide each side by '2'. x = 6 + -2y Simplifying x = 6 + -2y
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