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Simplifying -7(3x + -9) + 6 = 21x + 69 Reorder the terms: -7(-9 + 3x) + 6 = 21x + 69 (-9 * -7 + 3x * -7) + 6 = 21x + 69 (63 + -21x) + 6 = 21x + 69 Reorder the terms: 63 + 6 + -21x = 21x + 69 Combine like terms: 63 + 6 = 69 69 + -21x = 21x + 69 Reorder the terms: 69 + -21x = 69 + 21x Add '-69' to each side of the equation. 69 + -69 + -21x = 69 + -69 + 21x Combine like terms: 69 + -69 = 0 0 + -21x = 69 + -69 + 21x -21x = 69 + -69 + 21x Combine like terms: 69 + -69 = 0 -21x = 0 + 21x -21x = 21x Solving -21x = 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -21x + -21x = 21x + -21x Combine like terms: -21x + -21x = -42x -42x = 21x + -21x Combine like terms: 21x + -21x = 0 -42x = 0 Divide each side by '-42'. x = 0 Simplifying x = 0
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