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Simplifying -97 = -7x + 6(4x + -2) Reorder the terms: -97 = -7x + 6(-2 + 4x) -97 = -7x + (-2 * 6 + 4x * 6) -97 = -7x + (-12 + 24x) Reorder the terms: -97 = -12 + -7x + 24x Combine like terms: -7x + 24x = 17x -97 = -12 + 17x Solving -97 = -12 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -97 + -17x = -12 + 17x + -17x Combine like terms: 17x + -17x = 0 -97 + -17x = -12 + 0 -97 + -17x = -12 Add '97' to each side of the equation. -97 + 97 + -17x = -12 + 97 Combine like terms: -97 + 97 = 0 0 + -17x = -12 + 97 -17x = -12 + 97 Combine like terms: -12 + 97 = 85 -17x = 85 Divide each side by '-17'. x = -5 Simplifying x = -5
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