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Simplifying -97 = -4x + -3(-5 + -6x) -97 = -4x + (-5 * -3 + -6x * -3) -97 = -4x + (15 + 18x) Reorder the terms: -97 = 15 + -4x + 18x Combine like terms: -4x + 18x = 14x -97 = 15 + 14x Solving -97 = 15 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -97 + -14x = 15 + 14x + -14x Combine like terms: 14x + -14x = 0 -97 + -14x = 15 + 0 -97 + -14x = 15 Add '97' to each side of the equation. -97 + 97 + -14x = 15 + 97 Combine like terms: -97 + 97 = 0 0 + -14x = 15 + 97 -14x = 15 + 97 Combine like terms: 15 + 97 = 112 -14x = 112 Divide each side by '-14'. x = -8 Simplifying x = -8
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