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Simplifying 9(x + 5) = -39(x + -39) Reorder the terms: 9(5 + x) = -39(x + -39) (5 * 9 + x * 9) = -39(x + -39) (45 + 9x) = -39(x + -39) Reorder the terms: 45 + 9x = -39(-39 + x) 45 + 9x = (-39 * -39 + x * -39) 45 + 9x = (1521 + -39x) Solving 45 + 9x = 1521 + -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. 45 + 9x + 39x = 1521 + -39x + 39x Combine like terms: 9x + 39x = 48x 45 + 48x = 1521 + -39x + 39x Combine like terms: -39x + 39x = 0 45 + 48x = 1521 + 0 45 + 48x = 1521 Add '-45' to each side of the equation. 45 + -45 + 48x = 1521 + -45 Combine like terms: 45 + -45 = 0 0 + 48x = 1521 + -45 48x = 1521 + -45 Combine like terms: 1521 + -45 = 1476 48x = 1476 Divide each side by '48'. x = 30.75 Simplifying x = 30.75
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