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Simplifying 3(x + 1) + -2(3x + 7) = 14 Reorder the terms: 3(1 + x) + -2(3x + 7) = 14 (1 * 3 + x * 3) + -2(3x + 7) = 14 (3 + 3x) + -2(3x + 7) = 14 Reorder the terms: 3 + 3x + -2(7 + 3x) = 14 3 + 3x + (7 * -2 + 3x * -2) = 14 3 + 3x + (-14 + -6x) = 14 Reorder the terms: 3 + -14 + 3x + -6x = 14 Combine like terms: 3 + -14 = -11 -11 + 3x + -6x = 14 Combine like terms: 3x + -6x = -3x -11 + -3x = 14 Solving -11 + -3x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -3x = 14 + 11 Combine like terms: -11 + 11 = 0 0 + -3x = 14 + 11 -3x = 14 + 11 Combine like terms: 14 + 11 = 25 -3x = 25 Divide each side by '-3'. x = -8.333333333 Simplifying x = -8.333333333
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