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Simplifying 9x + -1(6x + 9) = 9x + -21 Reorder the terms: 9x + -1(9 + 6x) = 9x + -21 9x + (9 * -1 + 6x * -1) = 9x + -21 9x + (-9 + -6x) = 9x + -21 Reorder the terms: -9 + 9x + -6x = 9x + -21 Combine like terms: 9x + -6x = 3x -9 + 3x = 9x + -21 Reorder the terms: -9 + 3x = -21 + 9x Solving -9 + 3x = -21 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -9 + 3x + -9x = -21 + 9x + -9x Combine like terms: 3x + -9x = -6x -9 + -6x = -21 + 9x + -9x Combine like terms: 9x + -9x = 0 -9 + -6x = -21 + 0 -9 + -6x = -21 Add '9' to each side of the equation. -9 + 9 + -6x = -21 + 9 Combine like terms: -9 + 9 = 0 0 + -6x = -21 + 9 -6x = -21 + 9 Combine like terms: -21 + 9 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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