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Simplifying -169 = -3x + 5(4x + -10) Reorder the terms: -169 = -3x + 5(-10 + 4x) -169 = -3x + (-10 * 5 + 4x * 5) -169 = -3x + (-50 + 20x) Reorder the terms: -169 = -50 + -3x + 20x Combine like terms: -3x + 20x = 17x -169 = -50 + 17x Solving -169 = -50 + 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. -169 + -17x = -50 + 17x + -17x Combine like terms: 17x + -17x = 0 -169 + -17x = -50 + 0 -169 + -17x = -50 Add '169' to each side of the equation. -169 + 169 + -17x = -50 + 169 Combine like terms: -169 + 169 = 0 0 + -17x = -50 + 169 -17x = -50 + 169 Combine like terms: -50 + 169 = 119 -17x = 119 Divide each side by '-17'. x = -7 Simplifying x = -7
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