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Simplifying -1(X + 4) + 2(X + 3) = 7 Reorder the terms: -1(4 + X) + 2(X + 3) = 7 (4 * -1 + X * -1) + 2(X + 3) = 7 (-4 + -1X) + 2(X + 3) = 7 Reorder the terms: -4 + -1X + 2(3 + X) = 7 -4 + -1X + (3 * 2 + X * 2) = 7 -4 + -1X + (6 + 2X) = 7 Reorder the terms: -4 + 6 + -1X + 2X = 7 Combine like terms: -4 + 6 = 2 2 + -1X + 2X = 7 Combine like terms: -1X + 2X = 1X 2 + 1X = 7 Solving 2 + 1X = 7 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 1X = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 1X = 7 + -2 1X = 7 + -2 Combine like terms: 7 + -2 = 5 1X = 5 Divide each side by '1'. X = 5 Simplifying X = 5
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