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Simplifying 3(y + 1) + -6x = 12 Reorder the terms: 3(1 + y) + -6x = 12 (1 * 3 + y * 3) + -6x = 12 (3 + 3y) + -6x = 12 Reorder the terms: 3 + -6x + 3y = 12 Solving 3 + -6x + 3y = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -6x + -3 + 3y = 12 + -3 Reorder the terms: 3 + -3 + -6x + 3y = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -6x + 3y = 12 + -3 -6x + 3y = 12 + -3 Combine like terms: 12 + -3 = 9 -6x + 3y = 9 Add '-3y' to each side of the equation. -6x + 3y + -3y = 9 + -3y Combine like terms: 3y + -3y = 0 -6x + 0 = 9 + -3y -6x = 9 + -3y Divide each side by '-6'. x = -1.5 + 0.5y Simplifying x = -1.5 + 0.5y
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