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Simplifying 6(2x + y) + -54 = 0 (2x * 6 + y * 6) + -54 = 0 (12x + 6y) + -54 = 0 Reorder the terms: -54 + 12x + 6y = 0 Solving -54 + 12x + 6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 12x + 54 + 6y = 0 + 54 Reorder the terms: -54 + 54 + 12x + 6y = 0 + 54 Combine like terms: -54 + 54 = 0 0 + 12x + 6y = 0 + 54 12x + 6y = 0 + 54 Combine like terms: 0 + 54 = 54 12x + 6y = 54 Add '-6y' to each side of the equation. 12x + 6y + -6y = 54 + -6y Combine like terms: 6y + -6y = 0 12x + 0 = 54 + -6y 12x = 54 + -6y Divide each side by '12'. x = 4.5 + -0.5y Simplifying x = 4.5 + -0.5y
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