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Simplifying 29(x + 13) = -27(x + 13) Reorder the terms: 29(13 + x) = -27(x + 13) (13 * 29 + x * 29) = -27(x + 13) (377 + 29x) = -27(x + 13) Reorder the terms: 377 + 29x = -27(13 + x) 377 + 29x = (13 * -27 + x * -27) 377 + 29x = (-351 + -27x) Solving 377 + 29x = -351 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. 377 + 29x + 27x = -351 + -27x + 27x Combine like terms: 29x + 27x = 56x 377 + 56x = -351 + -27x + 27x Combine like terms: -27x + 27x = 0 377 + 56x = -351 + 0 377 + 56x = -351 Add '-377' to each side of the equation. 377 + -377 + 56x = -351 + -377 Combine like terms: 377 + -377 = 0 0 + 56x = -351 + -377 56x = -351 + -377 Combine like terms: -351 + -377 = -728 56x = -728 Divide each side by '56'. x = -13 Simplifying x = -13
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