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Simplifying 3(2x + 3) + -6y + 1 = 2(3y + -1) Reorder the terms: 3(3 + 2x) + -6y + 1 = 2(3y + -1) (3 * 3 + 2x * 3) + -6y + 1 = 2(3y + -1) (9 + 6x) + -6y + 1 = 2(3y + -1) Reorder the terms: 9 + 1 + 6x + -6y = 2(3y + -1) Combine like terms: 9 + 1 = 10 10 + 6x + -6y = 2(3y + -1) Reorder the terms: 10 + 6x + -6y = 2(-1 + 3y) 10 + 6x + -6y = (-1 * 2 + 3y * 2) 10 + 6x + -6y = (-2 + 6y) Solving 10 + 6x + -6y = -2 + 6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 6x + -10 + -6y = -2 + -10 + 6y Reorder the terms: 10 + -10 + 6x + -6y = -2 + -10 + 6y Combine like terms: 10 + -10 = 0 0 + 6x + -6y = -2 + -10 + 6y 6x + -6y = -2 + -10 + 6y Combine like terms: -2 + -10 = -12 6x + -6y = -12 + 6y Add '6y' to each side of the equation. 6x + -6y + 6y = -12 + 6y + 6y Combine like terms: -6y + 6y = 0 6x + 0 = -12 + 6y + 6y 6x = -12 + 6y + 6y Combine like terms: 6y + 6y = 12y 6x = -12 + 12y Divide each side by '6'. x = -2 + 2y Simplifying x = -2 + 2y
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