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Simplifying 5(X + 1) + -7 = 3(X + 1) + 2x Reorder the terms: 5(1 + X) + -7 = 3(X + 1) + 2x (1 * 5 + X * 5) + -7 = 3(X + 1) + 2x (5 + 5X) + -7 = 3(X + 1) + 2x Reorder the terms: 5 + -7 + 5X = 3(X + 1) + 2x Combine like terms: 5 + -7 = -2 -2 + 5X = 3(X + 1) + 2x Reorder the terms: -2 + 5X = 3(1 + X) + 2x -2 + 5X = (1 * 3 + X * 3) + 2x -2 + 5X = (3 + 3X) + 2x Solving -2 + 5X = 3 + 3X + 2x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3X' to each side of the equation. -2 + 5X + -3X = 3 + 3X + -3X + 2x Combine like terms: 5X + -3X = 2X -2 + 2X = 3 + 3X + -3X + 2x Combine like terms: 3X + -3X = 0 -2 + 2X = 3 + 0 + 2x -2 + 2X = 3 + 2x Add '2' to each side of the equation. -2 + 2 + 2X = 3 + 2 + 2x Combine like terms: -2 + 2 = 0 0 + 2X = 3 + 2 + 2x 2X = 3 + 2 + 2x Combine like terms: 3 + 2 = 5 2X = 5 + 2x Divide each side by '2'. X = 2.5 + x Simplifying X = 2.5 + x
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