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Simplifying 3(x + -2) + -2y = 1 + -2(3y + -1) Reorder the terms: 3(-2 + x) + -2y = 1 + -2(3y + -1) (-2 * 3 + x * 3) + -2y = 1 + -2(3y + -1) (-6 + 3x) + -2y = 1 + -2(3y + -1) Reorder the terms: -6 + 3x + -2y = 1 + -2(-1 + 3y) -6 + 3x + -2y = 1 + (-1 * -2 + 3y * -2) -6 + 3x + -2y = 1 + (2 + -6y) Combine like terms: 1 + 2 = 3 -6 + 3x + -2y = 3 + -6y Solving -6 + 3x + -2y = 3 + -6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 3x + 6 + -2y = 3 + 6 + -6y Reorder the terms: -6 + 6 + 3x + -2y = 3 + 6 + -6y Combine like terms: -6 + 6 = 0 0 + 3x + -2y = 3 + 6 + -6y 3x + -2y = 3 + 6 + -6y Combine like terms: 3 + 6 = 9 3x + -2y = 9 + -6y Add '2y' to each side of the equation. 3x + -2y + 2y = 9 + -6y + 2y Combine like terms: -2y + 2y = 0 3x + 0 = 9 + -6y + 2y 3x = 9 + -6y + 2y Combine like terms: -6y + 2y = -4y 3x = 9 + -4y Divide each side by '3'. x = 3 + -1.333333333y Simplifying x = 3 + -1.333333333y
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