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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 = 17 17 + 3x + -6x = 14 Combine like terms: 3x + -6x = -3x 17 + -3x = 14 Solving 17 + -3x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -3x = 14 + -17 Combine like terms: 17 + -17 = 0 0 + -3x = 14 + -17 -3x = 14 + -17 Combine like terms: 14 + -17 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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