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Simplifying -9(2x + -7) = 9(-7x + -3) Reorder the terms: -9(-7 + 2x) = 9(-7x + -3) (-7 * -9 + 2x * -9) = 9(-7x + -3) (63 + -18x) = 9(-7x + -3) Reorder the terms: 63 + -18x = 9(-3 + -7x) 63 + -18x = (-3 * 9 + -7x * 9) 63 + -18x = (-27 + -63x) Solving 63 + -18x = -27 + -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. 63 + -18x + 63x = -27 + -63x + 63x Combine like terms: -18x + 63x = 45x 63 + 45x = -27 + -63x + 63x Combine like terms: -63x + 63x = 0 63 + 45x = -27 + 0 63 + 45x = -27 Add '-63' to each side of the equation. 63 + -63 + 45x = -27 + -63 Combine like terms: 63 + -63 = 0 0 + 45x = -27 + -63 45x = -27 + -63 Combine like terms: -27 + -63 = -90 45x = -90 Divide each side by '45'. x = -2 Simplifying x = -2
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