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Simplifying -3(1 + -7x) = 9(9 + 7x) (1 * -3 + -7x * -3) = 9(9 + 7x) (-3 + 21x) = 9(9 + 7x) -3 + 21x = (9 * 9 + 7x * 9) -3 + 21x = (81 + 63x) Solving -3 + 21x = 81 + 63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63x' to each side of the equation. -3 + 21x + -63x = 81 + 63x + -63x Combine like terms: 21x + -63x = -42x -3 + -42x = 81 + 63x + -63x Combine like terms: 63x + -63x = 0 -3 + -42x = 81 + 0 -3 + -42x = 81 Add '3' to each side of the equation. -3 + 3 + -42x = 81 + 3 Combine like terms: -3 + 3 = 0 0 + -42x = 81 + 3 -42x = 81 + 3 Combine like terms: 81 + 3 = 84 -42x = 84 Divide each side by '-42'. x = -2 Simplifying x = -2
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