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Simplifying 7x + -39 = -5(x + -9) Reorder the terms: -39 + 7x = -5(x + -9) Reorder the terms: -39 + 7x = -5(-9 + x) -39 + 7x = (-9 * -5 + x * -5) -39 + 7x = (45 + -5x) Solving -39 + 7x = 45 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -39 + 7x + 5x = 45 + -5x + 5x Combine like terms: 7x + 5x = 12x -39 + 12x = 45 + -5x + 5x Combine like terms: -5x + 5x = 0 -39 + 12x = 45 + 0 -39 + 12x = 45 Add '39' to each side of the equation. -39 + 39 + 12x = 45 + 39 Combine like terms: -39 + 39 = 0 0 + 12x = 45 + 39 12x = 45 + 39 Combine like terms: 45 + 39 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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