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Simplifying -11x + 97 = -6x + -8 + 10x Reorder the terms: 97 + -11x = -6x + -8 + 10x Reorder the terms: 97 + -11x = -8 + -6x + 10x Combine like terms: -6x + 10x = 4x 97 + -11x = -8 + 4x Solving 97 + -11x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 97 + -11x + -4x = -8 + 4x + -4x Combine like terms: -11x + -4x = -15x 97 + -15x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 97 + -15x = -8 + 0 97 + -15x = -8 Add '-97' to each side of the equation. 97 + -97 + -15x = -8 + -97 Combine like terms: 97 + -97 = 0 0 + -15x = -8 + -97 -15x = -8 + -97 Combine like terms: -8 + -97 = -105 -15x = -105 Divide each side by '-15'. x = 7 Simplifying x = 7
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