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Simplifying 6x + 3y + 27 = 12 Reorder the terms: 27 + 6x + 3y = 12 Solving 27 + 6x + 3y = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + 6x + -27 + 3y = 12 + -27 Reorder the terms: 27 + -27 + 6x + 3y = 12 + -27 Combine like terms: 27 + -27 = 0 0 + 6x + 3y = 12 + -27 6x + 3y = 12 + -27 Combine like terms: 12 + -27 = -15 6x + 3y = -15 Add '-3y' to each side of the equation. 6x + 3y + -3y = -15 + -3y Combine like terms: 3y + -3y = 0 6x + 0 = -15 + -3y 6x = -15 + -3y Divide each side by '6'. x = -2.5 + -0.5y Simplifying x = -2.5 + -0.5y
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