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Simplifying 7(1X + -2) = 5(1X + 4) Reorder the terms: 7(-2 + 1X) = 5(1X + 4) (-2 * 7 + 1X * 7) = 5(1X + 4) (-14 + 7X) = 5(1X + 4) Reorder the terms: -14 + 7X = 5(4 + 1X) -14 + 7X = (4 * 5 + 1X * 5) -14 + 7X = (20 + 5X) Solving -14 + 7X = 20 + 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. -14 + 7X + -5X = 20 + 5X + -5X Combine like terms: 7X + -5X = 2X -14 + 2X = 20 + 5X + -5X Combine like terms: 5X + -5X = 0 -14 + 2X = 20 + 0 -14 + 2X = 20 Add '14' to each side of the equation. -14 + 14 + 2X = 20 + 14 Combine like terms: -14 + 14 = 0 0 + 2X = 20 + 14 2X = 20 + 14 Combine like terms: 20 + 14 = 34 2X = 34 Divide each side by '2'. X = 17 Simplifying X = 17
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