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Simplifying -2x + -47 = 97 + 6x Reorder the terms: -47 + -2x = 97 + 6x Solving -47 + -2x = 97 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -47 + -2x + -6x = 97 + 6x + -6x Combine like terms: -2x + -6x = -8x -47 + -8x = 97 + 6x + -6x Combine like terms: 6x + -6x = 0 -47 + -8x = 97 + 0 -47 + -8x = 97 Add '47' to each side of the equation. -47 + 47 + -8x = 97 + 47 Combine like terms: -47 + 47 = 0 0 + -8x = 97 + 47 -8x = 97 + 47 Combine like terms: 97 + 47 = 144 -8x = 144 Divide each side by '-8'. x = -18 Simplifying x = -18
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