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Simplifying -4(X + 1) = -7X + 9 + 2 Reorder the terms: -4(1 + X) = -7X + 9 + 2 (1 * -4 + X * -4) = -7X + 9 + 2 (-4 + -4X) = -7X + 9 + 2 Reorder the terms: -4 + -4X = 9 + 2 + -7X Combine like terms: 9 + 2 = 11 -4 + -4X = 11 + -7X Solving -4 + -4X = 11 + -7X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '7X' to each side of the equation. -4 + -4X + 7X = 11 + -7X + 7X Combine like terms: -4X + 7X = 3X -4 + 3X = 11 + -7X + 7X Combine like terms: -7X + 7X = 0 -4 + 3X = 11 + 0 -4 + 3X = 11 Add '4' to each side of the equation. -4 + 4 + 3X = 11 + 4 Combine like terms: -4 + 4 = 0 0 + 3X = 11 + 4 3X = 11 + 4 Combine like terms: 11 + 4 = 15 3X = 15 Divide each side by '3'. X = 5 Simplifying X = 5
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