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Simplifying 3x + 4(-5x + -3) = -97 Reorder the terms: 3x + 4(-3 + -5x) = -97 3x + (-3 * 4 + -5x * 4) = -97 3x + (-12 + -20x) = -97 Reorder the terms: -12 + 3x + -20x = -97 Combine like terms: 3x + -20x = -17x -12 + -17x = -97 Solving -12 + -17x = -97 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -17x = -97 + 12 Combine like terms: -12 + 12 = 0 0 + -17x = -97 + 12 -17x = -97 + 12 Combine like terms: -97 + 12 = -85 -17x = -85 Divide each side by '-17'. x = 5 Simplifying x = 5
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