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Simplifying 7(x + 3) + -1(6x + -9) = 2 Reorder the terms: 7(3 + x) + -1(6x + -9) = 2 (3 * 7 + x * 7) + -1(6x + -9) = 2 (21 + 7x) + -1(6x + -9) = 2 Reorder the terms: 21 + 7x + -1(-9 + 6x) = 2 21 + 7x + (-9 * -1 + 6x * -1) = 2 21 + 7x + (9 + -6x) = 2 Reorder the terms: 21 + 9 + 7x + -6x = 2 Combine like terms: 21 + 9 = 30 30 + 7x + -6x = 2 Combine like terms: 7x + -6x = 1x 30 + 1x = 2 Solving 30 + 1x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 1x = 2 + -30 Combine like terms: 30 + -30 = 0 0 + 1x = 2 + -30 1x = 2 + -30 Combine like terms: 2 + -30 = -28 1x = -28 Divide each side by '1'. x = -28 Simplifying x = -28
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