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Simplifying -97 = -1x + -6(x + 8) Reorder the terms: -97 = -1x + -6(8 + x) -97 = -1x + (8 * -6 + x * -6) -97 = -1x + (-48 + -6x) Reorder the terms: -97 = -48 + -1x + -6x Combine like terms: -1x + -6x = -7x -97 = -48 + -7x Solving -97 = -48 + -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. -97 + 7x = -48 + -7x + 7x Combine like terms: -7x + 7x = 0 -97 + 7x = -48 + 0 -97 + 7x = -48 Add '97' to each side of the equation. -97 + 97 + 7x = -48 + 97 Combine like terms: -97 + 97 = 0 0 + 7x = -48 + 97 7x = -48 + 97 Combine like terms: -48 + 97 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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