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Simplifying 3(x + 7) + -1(2x + 6) = 9 Reorder the terms: 3(7 + x) + -1(2x + 6) = 9 (7 * 3 + x * 3) + -1(2x + 6) = 9 (21 + 3x) + -1(2x + 6) = 9 Reorder the terms: 21 + 3x + -1(6 + 2x) = 9 21 + 3x + (6 * -1 + 2x * -1) = 9 21 + 3x + (-6 + -2x) = 9 Reorder the terms: 21 + -6 + 3x + -2x = 9 Combine like terms: 21 + -6 = 15 15 + 3x + -2x = 9 Combine like terms: 3x + -2x = 1x 15 + 1x = 9 Solving 15 + 1x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 1x = 9 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 9 + -15 1x = 9 + -15 Combine like terms: 9 + -15 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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