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Simplifying -2x + -1 + -2x + 43 = 97 + 7x Reorder the terms: -1 + 43 + -2x + -2x = 97 + 7x Combine like terms: -1 + 43 = 42 42 + -2x + -2x = 97 + 7x Combine like terms: -2x + -2x = -4x 42 + -4x = 97 + 7x Solving 42 + -4x = 97 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 42 + -4x + -7x = 97 + 7x + -7x Combine like terms: -4x + -7x = -11x 42 + -11x = 97 + 7x + -7x Combine like terms: 7x + -7x = 0 42 + -11x = 97 + 0 42 + -11x = 97 Add '-42' to each side of the equation. 42 + -42 + -11x = 97 + -42 Combine like terms: 42 + -42 = 0 0 + -11x = 97 + -42 -11x = 97 + -42 Combine like terms: 97 + -42 = 55 -11x = 55 Divide each side by '-11'. x = -5 Simplifying x = -5
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