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Simplifying (X + 3) + -2(2 + -2X) = 2(X + 5) + -2 Reorder the terms: (3 + X) + -2(2 + -2X) = 2(X + 5) + -2 Remove parenthesis around (3 + X) 3 + X + -2(2 + -2X) = 2(X + 5) + -2 3 + X + (2 * -2 + -2X * -2) = 2(X + 5) + -2 3 + X + (-4 + 4X) = 2(X + 5) + -2 Reorder the terms: 3 + -4 + X + 4X = 2(X + 5) + -2 Combine like terms: 3 + -4 = -1 -1 + X + 4X = 2(X + 5) + -2 Combine like terms: X + 4X = 5X -1 + 5X = 2(X + 5) + -2 Reorder the terms: -1 + 5X = 2(5 + X) + -2 -1 + 5X = (5 * 2 + X * 2) + -2 -1 + 5X = (10 + 2X) + -2 Reorder the terms: -1 + 5X = 10 + -2 + 2X Combine like terms: 10 + -2 = 8 -1 + 5X = 8 + 2X Solving -1 + 5X = 8 + 2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2X' to each side of the equation. -1 + 5X + -2X = 8 + 2X + -2X Combine like terms: 5X + -2X = 3X -1 + 3X = 8 + 2X + -2X Combine like terms: 2X + -2X = 0 -1 + 3X = 8 + 0 -1 + 3X = 8 Add '1' to each side of the equation. -1 + 1 + 3X = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 3X = 8 + 1 3X = 8 + 1 Combine like terms: 8 + 1 = 9 3X = 9 Divide each side by '3'. X = 3 Simplifying X = 3
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