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Simplifying 4x + 5(-3x + -4) = -97 Reorder the terms: 4x + 5(-4 + -3x) = -97 4x + (-4 * 5 + -3x * 5) = -97 4x + (-20 + -15x) = -97 Reorder the terms: -20 + 4x + -15x = -97 Combine like terms: 4x + -15x = -11x -20 + -11x = -97 Solving -20 + -11x = -97 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -11x = -97 + 20 Combine like terms: -20 + 20 = 0 0 + -11x = -97 + 20 -11x = -97 + 20 Combine like terms: -97 + 20 = -77 -11x = -77 Divide each side by '-11'. x = 7 Simplifying x = 7
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