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Simplifying 7(x + 3) + -2(x + 6) = -1 Reorder the terms: 7(3 + x) + -2(x + 6) = -1 (3 * 7 + x * 7) + -2(x + 6) = -1 (21 + 7x) + -2(x + 6) = -1 Reorder the terms: 21 + 7x + -2(6 + x) = -1 21 + 7x + (6 * -2 + x * -2) = -1 21 + 7x + (-12 + -2x) = -1 Reorder the terms: 21 + -12 + 7x + -2x = -1 Combine like terms: 21 + -12 = 9 9 + 7x + -2x = -1 Combine like terms: 7x + -2x = 5x 9 + 5x = -1 Solving 9 + 5x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5x = -1 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = -1 + -9 5x = -1 + -9 Combine like terms: -1 + -9 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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