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Simplifying 74 = -3x + -5(-4x + 9) Reorder the terms: 74 = -3x + -5(9 + -4x) 74 = -3x + (9 * -5 + -4x * -5) 74 = -3x + (-45 + 20x) Reorder the terms: 74 = -45 + -3x + 20x Combine like terms: -3x + 20x = 17x 74 = -45 + 17x Solving 74 = -45 + 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. 74 + -17x = -45 + 17x + -17x Combine like terms: 17x + -17x = 0 74 + -17x = -45 + 0 74 + -17x = -45 Add '-74' to each side of the equation. 74 + -74 + -17x = -45 + -74 Combine like terms: 74 + -74 = 0 0 + -17x = -45 + -74 -17x = -45 + -74 Combine like terms: -45 + -74 = -119 -17x = -119 Divide each side by '-17'. x = 7 Simplifying x = 7
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