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Simplifying -13(x + -13) = -2(4 + 7x) Reorder the terms: -13(-13 + x) = -2(4 + 7x) (-13 * -13 + x * -13) = -2(4 + 7x) (169 + -13x) = -2(4 + 7x) 169 + -13x = (4 * -2 + 7x * -2) 169 + -13x = (-8 + -14x) Solving 169 + -13x = -8 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 169 + -13x + 14x = -8 + -14x + 14x Combine like terms: -13x + 14x = 1x 169 + 1x = -8 + -14x + 14x Combine like terms: -14x + 14x = 0 169 + 1x = -8 + 0 169 + 1x = -8 Add '-169' to each side of the equation. 169 + -169 + 1x = -8 + -169 Combine like terms: 169 + -169 = 0 0 + 1x = -8 + -169 1x = -8 + -169 Combine like terms: -8 + -169 = -177 1x = -177 Divide each side by '1'. x = -177 Simplifying x = -177
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