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Simplifying -4x + -97 = -11x + 78 Reorder the terms: -97 + -4x = -11x + 78 Reorder the terms: -97 + -4x = 78 + -11x Solving -97 + -4x = 78 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -97 + -4x + 11x = 78 + -11x + 11x Combine like terms: -4x + 11x = 7x -97 + 7x = 78 + -11x + 11x Combine like terms: -11x + 11x = 0 -97 + 7x = 78 + 0 -97 + 7x = 78 Add '97' to each side of the equation. -97 + 97 + 7x = 78 + 97 Combine like terms: -97 + 97 = 0 0 + 7x = 78 + 97 7x = 78 + 97 Combine like terms: 78 + 97 = 175 7x = 175 Divide each side by '7'. x = 25 Simplifying x = 25
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