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Simplifying -6(x + 90) = 39(x + 9) Reorder the terms: -6(90 + x) = 39(x + 9) (90 * -6 + x * -6) = 39(x + 9) (-540 + -6x) = 39(x + 9) Reorder the terms: -540 + -6x = 39(9 + x) -540 + -6x = (9 * 39 + x * 39) -540 + -6x = (351 + 39x) Solving -540 + -6x = 351 + 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. -540 + -6x + -39x = 351 + 39x + -39x Combine like terms: -6x + -39x = -45x -540 + -45x = 351 + 39x + -39x Combine like terms: 39x + -39x = 0 -540 + -45x = 351 + 0 -540 + -45x = 351 Add '540' to each side of the equation. -540 + 540 + -45x = 351 + 540 Combine like terms: -540 + 540 = 0 0 + -45x = 351 + 540 -45x = 351 + 540 Combine like terms: 351 + 540 = 891 -45x = 891 Divide each side by '-45'. x = -19.8 Simplifying x = -19.8
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