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