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Simplifying -9(x + -9) = 6x + 21 Reorder the terms: -9(-9 + x) = 6x + 21 (-9 * -9 + x * -9) = 6x + 21 (81 + -9x) = 6x + 21 Reorder the terms: 81 + -9x = 21 + 6x Solving 81 + -9x = 21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 81 + -9x + -6x = 21 + 6x + -6x Combine like terms: -9x + -6x = -15x 81 + -15x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 81 + -15x = 21 + 0 81 + -15x = 21 Add '-81' to each side of the equation. 81 + -81 + -15x = 21 + -81 Combine like terms: 81 + -81 = 0 0 + -15x = 21 + -81 -15x = 21 + -81 Combine like terms: 21 + -81 = -60 -15x = -60 Divide each side by '-15'. x = 4 Simplifying x = 4
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