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Simplifying 9(x + 5) = 27(x + -13) Reorder the terms: 9(5 + x) = 27(x + -13) (5 * 9 + x * 9) = 27(x + -13) (45 + 9x) = 27(x + -13) Reorder the terms: 45 + 9x = 27(-13 + x) 45 + 9x = (-13 * 27 + x * 27) 45 + 9x = (-351 + 27x) Solving 45 + 9x = -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. 45 + 9x + -27x = -351 + 27x + -27x Combine like terms: 9x + -27x = -18x 45 + -18x = -351 + 27x + -27x Combine like terms: 27x + -27x = 0 45 + -18x = -351 + 0 45 + -18x = -351 Add '-45' to each side of the equation. 45 + -45 + -18x = -351 + -45 Combine like terms: 45 + -45 = 0 0 + -18x = -351 + -45 -18x = -351 + -45 Combine like terms: -351 + -45 = -396 -18x = -396 Divide each side by '-18'. x = 22 Simplifying x = 22
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