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Simplifying -97 = 3(-5 + -4x) + 2 -97 = (-5 * 3 + -4x * 3) + 2 -97 = (-15 + -12x) + 2 Reorder the terms: -97 = -15 + 2 + -12x Combine like terms: -15 + 2 = -13 -97 = -13 + -12x Solving -97 = -13 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -97 + 12x = -13 + -12x + 12x Combine like terms: -12x + 12x = 0 -97 + 12x = -13 + 0 -97 + 12x = -13 Add '97' to each side of the equation. -97 + 97 + 12x = -13 + 97 Combine like terms: -97 + 97 = 0 0 + 12x = -13 + 97 12x = -13 + 97 Combine like terms: -13 + 97 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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