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Simplifying 9(x + 9) = 4(x + -6) Reorder the terms: 9(9 + x) = 4(x + -6) (9 * 9 + x * 9) = 4(x + -6) (81 + 9x) = 4(x + -6) Reorder the terms: 81 + 9x = 4(-6 + x) 81 + 9x = (-6 * 4 + x * 4) 81 + 9x = (-24 + 4x) Solving 81 + 9x = -24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 81 + 9x + -4x = -24 + 4x + -4x Combine like terms: 9x + -4x = 5x 81 + 5x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 81 + 5x = -24 + 0 81 + 5x = -24 Add '-81' to each side of the equation. 81 + -81 + 5x = -24 + -81 Combine like terms: 81 + -81 = 0 0 + 5x = -24 + -81 5x = -24 + -81 Combine like terms: -24 + -81 = -105 5x = -105 Divide each side by '5'. x = -21 Simplifying x = -21
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