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Simplifying 2(X + -1) = 5(X + 7) + -10 Reorder the terms: 2(-1 + X) = 5(X + 7) + -10 (-1 * 2 + X * 2) = 5(X + 7) + -10 (-2 + 2X) = 5(X + 7) + -10 Reorder the terms: -2 + 2X = 5(7 + X) + -10 -2 + 2X = (7 * 5 + X * 5) + -10 -2 + 2X = (35 + 5X) + -10 Reorder the terms: -2 + 2X = 35 + -10 + 5X Combine like terms: 35 + -10 = 25 -2 + 2X = 25 + 5X Solving -2 + 2X = 25 + 5X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5X' to each side of the equation. -2 + 2X + -5X = 25 + 5X + -5X Combine like terms: 2X + -5X = -3X -2 + -3X = 25 + 5X + -5X Combine like terms: 5X + -5X = 0 -2 + -3X = 25 + 0 -2 + -3X = 25 Add '2' to each side of the equation. -2 + 2 + -3X = 25 + 2 Combine like terms: -2 + 2 = 0 0 + -3X = 25 + 2 -3X = 25 + 2 Combine like terms: 25 + 2 = 27 -3X = 27 Divide each side by '-3'. X = -9 Simplifying X = -9
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