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Simplifying 169 = 7x + 6(-4x + 14) Reorder the terms: 169 = 7x + 6(14 + -4x) 169 = 7x + (14 * 6 + -4x * 6) 169 = 7x + (84 + -24x) Reorder the terms: 169 = 84 + 7x + -24x Combine like terms: 7x + -24x = -17x 169 = 84 + -17x Solving 169 = 84 + -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 = 84 + -17x + 17x Combine like terms: -17x + 17x = 0 169 + 17x = 84 + 0 169 + 17x = 84 Add '-169' to each side of the equation. 169 + -169 + 17x = 84 + -169 Combine like terms: 169 + -169 = 0 0 + 17x = 84 + -169 17x = 84 + -169 Combine like terms: 84 + -169 = -85 17x = -85 Divide each side by '17'. x = -5 Simplifying x = -5
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