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Simplifying 2x + -54 = 78 + -9x Reorder the terms: -54 + 2x = 78 + -9x Solving -54 + 2x = 78 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -54 + 2x + 9x = 78 + -9x + 9x Combine like terms: 2x + 9x = 11x -54 + 11x = 78 + -9x + 9x Combine like terms: -9x + 9x = 0 -54 + 11x = 78 + 0 -54 + 11x = 78 Add '54' to each side of the equation. -54 + 54 + 11x = 78 + 54 Combine like terms: -54 + 54 = 0 0 + 11x = 78 + 54 11x = 78 + 54 Combine like terms: 78 + 54 = 132 11x = 132 Divide each side by '11'. x = 12 Simplifying x = 12
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