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Simplifying -7x + -39(x + 2) = -9(5x + 9) Reorder the terms: -7x + -39(2 + x) = -9(5x + 9) -7x + (2 * -39 + x * -39) = -9(5x + 9) -7x + (-78 + -39x) = -9(5x + 9) Reorder the terms: -78 + -7x + -39x = -9(5x + 9) Combine like terms: -7x + -39x = -46x -78 + -46x = -9(5x + 9) Reorder the terms: -78 + -46x = -9(9 + 5x) -78 + -46x = (9 * -9 + 5x * -9) -78 + -46x = (-81 + -45x) Solving -78 + -46x = -81 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. -78 + -46x + 45x = -81 + -45x + 45x Combine like terms: -46x + 45x = -1x -78 + -1x = -81 + -45x + 45x Combine like terms: -45x + 45x = 0 -78 + -1x = -81 + 0 -78 + -1x = -81 Add '78' to each side of the equation. -78 + 78 + -1x = -81 + 78 Combine like terms: -78 + 78 = 0 0 + -1x = -81 + 78 -1x = -81 + 78 Combine like terms: -81 + 78 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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