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Simplifying 7(X + -1) + -2(X + -3) = 14 Reorder the terms: 7(-1 + X) + -2(X + -3) = 14 (-1 * 7 + X * 7) + -2(X + -3) = 14 (-7 + 7X) + -2(X + -3) = 14 Reorder the terms: -7 + 7X + -2(-3 + X) = 14 -7 + 7X + (-3 * -2 + X * -2) = 14 -7 + 7X + (6 + -2X) = 14 Reorder the terms: -7 + 6 + 7X + -2X = 14 Combine like terms: -7 + 6 = -1 -1 + 7X + -2X = 14 Combine like terms: 7X + -2X = 5X -1 + 5X = 14 Solving -1 + 5X = 14 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 5X = 14 + 1 Combine like terms: -1 + 1 = 0 0 + 5X = 14 + 1 5X = 14 + 1 Combine like terms: 14 + 1 = 15 5X = 15 Divide each side by '5'. X = 3 Simplifying X = 3
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