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Simplifying -1(7x + 3) + -1(-6x + -9) = 7 Reorder the terms: -1(3 + 7x) + -1(-6x + -9) = 7 (3 * -1 + 7x * -1) + -1(-6x + -9) = 7 (-3 + -7x) + -1(-6x + -9) = 7 Reorder the terms: -3 + -7x + -1(-9 + -6x) = 7 -3 + -7x + (-9 * -1 + -6x * -1) = 7 -3 + -7x + (9 + 6x) = 7 Reorder the terms: -3 + 9 + -7x + 6x = 7 Combine like terms: -3 + 9 = 6 6 + -7x + 6x = 7 Combine like terms: -7x + 6x = -1x 6 + -1x = 7 Solving 6 + -1x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 7 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 7 + -6 -1x = 7 + -6 Combine like terms: 7 + -6 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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