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Simplifying 5x + 2(X + 2) = 7(X + -1) Reorder the terms: 5x + 2(2 + X) = 7(X + -1) 5x + (2 * 2 + X * 2) = 7(X + -1) 5x + (4 + 2X) = 7(X + -1) Reorder the terms: 4 + 2X + 5x = 7(X + -1) Reorder the terms: 4 + 2X + 5x = 7(-1 + X) 4 + 2X + 5x = (-1 * 7 + X * 7) 4 + 2X + 5x = (-7 + 7X) Solving 4 + 2X + 5x = -7 + 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 + 2X + -7X + 5x = -7 + 7X + -7X Combine like terms: 2X + -7X = -5X 4 + -5X + 5x = -7 + 7X + -7X Combine like terms: 7X + -7X = 0 4 + -5X + 5x = -7 + 0 4 + -5X + 5x = -7 Add '-4' to each side of the equation. 4 + -5X + -4 + 5x = -7 + -4 Reorder the terms: 4 + -4 + -5X + 5x = -7 + -4 Combine like terms: 4 + -4 = 0 0 + -5X + 5x = -7 + -4 -5X + 5x = -7 + -4 Combine like terms: -7 + -4 = -11 -5X + 5x = -11 Add '-5x' to each side of the equation. -5X + 5x + -5x = -11 + -5x Combine like terms: 5x + -5x = 0 -5X + 0 = -11 + -5x -5X = -11 + -5x Divide each side by '-5'. X = 2.2 + x Simplifying X = 2.2 + x
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