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Simplifying 5x + -7(-1x + -9) = -9 Reorder the terms: 5x + -7(-9 + -1x) = -9 5x + (-9 * -7 + -1x * -7) = -9 5x + (63 + 7x) = -9 Reorder the terms: 63 + 5x + 7x = -9 Combine like terms: 5x + 7x = 12x 63 + 12x = -9 Solving 63 + 12x = -9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + 12x = -9 + -63 Combine like terms: 63 + -63 = 0 0 + 12x = -9 + -63 12x = -9 + -63 Combine like terms: -9 + -63 = -72 12x = -72 Divide each side by '12'. x = -6 Simplifying x = -6
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