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Simplifying 7x + 21 = -78(x + -9) Reorder the terms: 21 + 7x = -78(x + -9) Reorder the terms: 21 + 7x = -78(-9 + x) 21 + 7x = (-9 * -78 + x * -78) 21 + 7x = (702 + -78x) Solving 21 + 7x = 702 + -78x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '78x' to each side of the equation. 21 + 7x + 78x = 702 + -78x + 78x Combine like terms: 7x + 78x = 85x 21 + 85x = 702 + -78x + 78x Combine like terms: -78x + 78x = 0 21 + 85x = 702 + 0 21 + 85x = 702 Add '-21' to each side of the equation. 21 + -21 + 85x = 702 + -21 Combine like terms: 21 + -21 = 0 0 + 85x = 702 + -21 85x = 702 + -21 Combine like terms: 702 + -21 = 681 85x = 681 Divide each side by '85'. x = 8.011764706 Simplifying x = 8.011764706
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