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Simplifying -7(6x + -9) + -7(-9x + -9) = 0 Reorder the terms: -7(-9 + 6x) + -7(-9x + -9) = 0 (-9 * -7 + 6x * -7) + -7(-9x + -9) = 0 (63 + -42x) + -7(-9x + -9) = 0 Reorder the terms: 63 + -42x + -7(-9 + -9x) = 0 63 + -42x + (-9 * -7 + -9x * -7) = 0 63 + -42x + (63 + 63x) = 0 Reorder the terms: 63 + 63 + -42x + 63x = 0 Combine like terms: 63 + 63 = 126 126 + -42x + 63x = 0 Combine like terms: -42x + 63x = 21x 126 + 21x = 0 Solving 126 + 21x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-126' to each side of the equation. 126 + -126 + 21x = 0 + -126 Combine like terms: 126 + -126 = 0 0 + 21x = 0 + -126 21x = 0 + -126 Combine like terms: 0 + -126 = -126 21x = -126 Divide each side by '21'. x = -6 Simplifying x = -6
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