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Simplifying 7(X + -2) + -5(x + -2) = 2(X + -2) Reorder the terms: 7(-2 + X) + -5(x + -2) = 2(X + -2) (-2 * 7 + X * 7) + -5(x + -2) = 2(X + -2) (-14 + 7X) + -5(x + -2) = 2(X + -2) Reorder the terms: -14 + 7X + -5(-2 + x) = 2(X + -2) -14 + 7X + (-2 * -5 + x * -5) = 2(X + -2) -14 + 7X + (10 + -5x) = 2(X + -2) Reorder the terms: -14 + 10 + 7X + -5x = 2(X + -2) Combine like terms: -14 + 10 = -4 -4 + 7X + -5x = 2(X + -2) Reorder the terms: -4 + 7X + -5x = 2(-2 + X) -4 + 7X + -5x = (-2 * 2 + X * 2) -4 + 7X + -5x = (-4 + 2X) Add '4' to each side of the equation. -4 + 7X + 4 + -5x = -4 + 4 + 2X Reorder the terms: -4 + 4 + 7X + -5x = -4 + 4 + 2X Combine like terms: -4 + 4 = 0 0 + 7X + -5x = -4 + 4 + 2X 7X + -5x = -4 + 4 + 2X Combine like terms: -4 + 4 = 0 7X + -5x = 0 + 2X 7X + -5x = 2X Solving 7X + -5x = 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. 7X + -2X + -5x = 2X + -2X Combine like terms: 7X + -2X = 5X 5X + -5x = 2X + -2X Combine like terms: 2X + -2X = 0 5X + -5x = 0 Add '5x' to each side of the equation. 5X + -5x + 5x = 0 + 5x Combine like terms: -5x + 5x = 0 5X + 0 = 0 + 5x 5X = 0 + 5x Remove the zero: 5X = 5x Divide each side by '5'. X = x Simplifying X = x
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