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Simplifying -6x + -54 = 78 + 5x Reorder the terms: -54 + -6x = 78 + 5x Solving -54 + -6x = 78 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -54 + -6x + -5x = 78 + 5x + -5x Combine like terms: -6x + -5x = -11x -54 + -11x = 78 + 5x + -5x Combine like terms: 5x + -5x = 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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