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Simplifying 3x + -1(9x + 9) = 6x + -21 Reorder the terms: 3x + -1(9 + 9x) = 6x + -21 3x + (9 * -1 + 9x * -1) = 6x + -21 3x + (-9 + -9x) = 6x + -21 Reorder the terms: -9 + 3x + -9x = 6x + -21 Combine like terms: 3x + -9x = -6x -9 + -6x = 6x + -21 Reorder the terms: -9 + -6x = -21 + 6x Solving -9 + -6x = -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. -9 + -6x + -6x = -21 + 6x + -6x Combine like terms: -6x + -6x = -12x -9 + -12x = -21 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + -12x = -21 + 0 -9 + -12x = -21 Add '9' to each side of the equation. -9 + 9 + -12x = -21 + 9 Combine like terms: -9 + 9 = 0 0 + -12x = -21 + 9 -12x = -21 + 9 Combine like terms: -21 + 9 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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