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Simplifying 9(x + 1) = -39(x + 33) Reorder the terms: 9(1 + x) = -39(x + 33) (1 * 9 + x * 9) = -39(x + 33) (9 + 9x) = -39(x + 33) Reorder the terms: 9 + 9x = -39(33 + x) 9 + 9x = (33 * -39 + x * -39) 9 + 9x = (-1287 + -39x) Solving 9 + 9x = -1287 + -39x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39x' to each side of the equation. 9 + 9x + 39x = -1287 + -39x + 39x Combine like terms: 9x + 39x = 48x 9 + 48x = -1287 + -39x + 39x Combine like terms: -39x + 39x = 0 9 + 48x = -1287 + 0 9 + 48x = -1287 Add '-9' to each side of the equation. 9 + -9 + 48x = -1287 + -9 Combine like terms: 9 + -9 = 0 0 + 48x = -1287 + -9 48x = -1287 + -9 Combine like terms: -1287 + -9 = -1296 48x = -1296 Divide each side by '48'. x = -27 Simplifying x = -27
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