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Simplifying -197 = 3x + 4(-5x + -11) Reorder the terms: -197 = 3x + 4(-11 + -5x) -197 = 3x + (-11 * 4 + -5x * 4) -197 = 3x + (-44 + -20x) Reorder the terms: -197 = -44 + 3x + -20x Combine like terms: 3x + -20x = -17x -197 = -44 + -17x Solving -197 = -44 + -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. -197 + 17x = -44 + -17x + 17x Combine like terms: -17x + 17x = 0 -197 + 17x = -44 + 0 -197 + 17x = -44 Add '197' to each side of the equation. -197 + 197 + 17x = -44 + 197 Combine like terms: -197 + 197 = 0 0 + 17x = -44 + 197 17x = -44 + 197 Combine like terms: -44 + 197 = 153 17x = 153 Divide each side by '17'. x = 9 Simplifying x = 9
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