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Simplifying 9(x + -9) = 5(x + 7) Reorder the terms: 9(-9 + x) = 5(x + 7) (-9 * 9 + x * 9) = 5(x + 7) (-81 + 9x) = 5(x + 7) Reorder the terms: -81 + 9x = 5(7 + x) -81 + 9x = (7 * 5 + x * 5) -81 + 9x = (35 + 5x) Solving -81 + 9x = 35 + 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. -81 + 9x + -5x = 35 + 5x + -5x Combine like terms: 9x + -5x = 4x -81 + 4x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 -81 + 4x = 35 + 0 -81 + 4x = 35 Add '81' to each side of the equation. -81 + 81 + 4x = 35 + 81 Combine like terms: -81 + 81 = 0 0 + 4x = 35 + 81 4x = 35 + 81 Combine like terms: 35 + 81 = 116 4x = 116 Divide each side by '4'. x = 29 Simplifying x = 29
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