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Simplifying 7(x + 6) + -1(6x + -9) = -6 Reorder the terms: 7(6 + x) + -1(6x + -9) = -6 (6 * 7 + x * 7) + -1(6x + -9) = -6 (42 + 7x) + -1(6x + -9) = -6 Reorder the terms: 42 + 7x + -1(-9 + 6x) = -6 42 + 7x + (-9 * -1 + 6x * -1) = -6 42 + 7x + (9 + -6x) = -6 Reorder the terms: 42 + 9 + 7x + -6x = -6 Combine like terms: 42 + 9 = 51 51 + 7x + -6x = -6 Combine like terms: 7x + -6x = 1x 51 + 1x = -6 Solving 51 + 1x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 1x = -6 + -51 Combine like terms: 51 + -51 = 0 0 + 1x = -6 + -51 1x = -6 + -51 Combine like terms: -6 + -51 = -57 1x = -57 Divide each side by '1'. x = -57 Simplifying x = -57
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