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Simplifying 3x + 7(3x + -3) = 9 + -6x Reorder the terms: 3x + 7(-3 + 3x) = 9 + -6x 3x + (-3 * 7 + 3x * 7) = 9 + -6x 3x + (-21 + 21x) = 9 + -6x Reorder the terms: -21 + 3x + 21x = 9 + -6x Combine like terms: 3x + 21x = 24x -21 + 24x = 9 + -6x Solving -21 + 24x = 9 + -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. -21 + 24x + 6x = 9 + -6x + 6x Combine like terms: 24x + 6x = 30x -21 + 30x = 9 + -6x + 6x Combine like terms: -6x + 6x = 0 -21 + 30x = 9 + 0 -21 + 30x = 9 Add '21' to each side of the equation. -21 + 21 + 30x = 9 + 21 Combine like terms: -21 + 21 = 0 0 + 30x = 9 + 21 30x = 9 + 21 Combine like terms: 9 + 21 = 30 30x = 30 Divide each side by '30'. x = 1 Simplifying x = 1
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