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Simplifying -169 = 2 + -3(8x + 1) Reorder the terms: -169 = 2 + -3(1 + 8x) -169 = 2 + (1 * -3 + 8x * -3) -169 = 2 + (-3 + -24x) Combine like terms: 2 + -3 = -1 -169 = -1 + -24x Solving -169 = -1 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -169 + 24x = -1 + -24x + 24x Combine like terms: -24x + 24x = 0 -169 + 24x = -1 + 0 -169 + 24x = -1 Add '169' to each side of the equation. -169 + 169 + 24x = -1 + 169 Combine like terms: -169 + 169 = 0 0 + 24x = -1 + 169 24x = -1 + 169 Combine like terms: -1 + 169 = 168 24x = 168 Divide each side by '24'. x = 7 Simplifying x = 7
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