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Simplifying 2(X + -3) = 5(7 + -1X) Reorder the terms: 2(-3 + X) = 5(7 + -1X) (-3 * 2 + X * 2) = 5(7 + -1X) (-6 + 2X) = 5(7 + -1X) -6 + 2X = (7 * 5 + -1X * 5) -6 + 2X = (35 + -5X) Solving -6 + 2X = 35 + -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. -6 + 2X + 5X = 35 + -5X + 5X Combine like terms: 2X + 5X = 7X -6 + 7X = 35 + -5X + 5X Combine like terms: -5X + 5X = 0 -6 + 7X = 35 + 0 -6 + 7X = 35 Add '6' to each side of the equation. -6 + 6 + 7X = 35 + 6 Combine like terms: -6 + 6 = 0 0 + 7X = 35 + 6 7X = 35 + 6 Combine like terms: 35 + 6 = 41 7X = 41 Divide each side by '7'. X = 5.857142857 Simplifying X = 5.857142857
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