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Simplifying 13(13 + -2x) = -47 + x (13 * 13 + -2x * 13) = -47 + x (169 + -26x) = -47 + x Solving 169 + -26x = -47 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 169 + -26x + -1x = -47 + x + -1x Combine like terms: -26x + -1x = -27x 169 + -27x = -47 + x + -1x Combine like terms: x + -1x = 0 169 + -27x = -47 + 0 169 + -27x = -47 Add '-169' to each side of the equation. 169 + -169 + -27x = -47 + -169 Combine like terms: 169 + -169 = 0 0 + -27x = -47 + -169 -27x = -47 + -169 Combine like terms: -47 + -169 = -216 -27x = -216 Divide each side by '-27'. x = 8 Simplifying x = 8
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