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Simplifying 5(X + -2) + -2(X + 5) = 2(X + 1) Reorder the terms: 5(-2 + X) + -2(X + 5) = 2(X + 1) (-2 * 5 + X * 5) + -2(X + 5) = 2(X + 1) (-10 + 5X) + -2(X + 5) = 2(X + 1) Reorder the terms: -10 + 5X + -2(5 + X) = 2(X + 1) -10 + 5X + (5 * -2 + X * -2) = 2(X + 1) -10 + 5X + (-10 + -2X) = 2(X + 1) Reorder the terms: -10 + -10 + 5X + -2X = 2(X + 1) Combine like terms: -10 + -10 = -20 -20 + 5X + -2X = 2(X + 1) Combine like terms: 5X + -2X = 3X -20 + 3X = 2(X + 1) Reorder the terms: -20 + 3X = 2(1 + X) -20 + 3X = (1 * 2 + X * 2) -20 + 3X = (2 + 2X) Solving -20 + 3X = 2 + 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. -20 + 3X + -2X = 2 + 2X + -2X Combine like terms: 3X + -2X = 1X -20 + 1X = 2 + 2X + -2X Combine like terms: 2X + -2X = 0 -20 + 1X = 2 + 0 -20 + 1X = 2 Add '20' to each side of the equation. -20 + 20 + 1X = 2 + 20 Combine like terms: -20 + 20 = 0 0 + 1X = 2 + 20 1X = 2 + 20 Combine like terms: 2 + 20 = 22 1X = 22 Divide each side by '1'. X = 22 Simplifying X = 22
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