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Simplifying 6x + 6(9 + -1y) = 54 6x + (9 * 6 + -1y * 6) = 54 6x + (54 + -6y) = 54 Reorder the terms: 54 + 6x + -6y = 54 Add '-54' to each side of the equation. 54 + 6x + -54 + -6y = 54 + -54 Reorder the terms: 54 + -54 + 6x + -6y = 54 + -54 Combine like terms: 54 + -54 = 0 0 + 6x + -6y = 54 + -54 6x + -6y = 54 + -54 Combine like terms: 54 + -54 = 0 6x + -6y = 0 Solving 6x + -6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. 6x + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 6x + 0 = 0 + 6y 6x = 0 + 6y Remove the zero: 6x = 6y Divide each side by '6'. x = y Simplifying x = y
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