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Simplifying 2X + (3X + -4) + -2(5 + -1X) = 7x + -14 Reorder the terms: 2X + (-4 + 3X) + -2(5 + -1X) = 7x + -14 Remove parenthesis around (-4 + 3X) 2X + -4 + 3X + -2(5 + -1X) = 7x + -14 2X + -4 + 3X + (5 * -2 + -1X * -2) = 7x + -14 2X + -4 + 3X + (-10 + 2X) = 7x + -14 Reorder the terms: -4 + -10 + 2X + 3X + 2X = 7x + -14 Combine like terms: -4 + -10 = -14 -14 + 2X + 3X + 2X = 7x + -14 Combine like terms: 2X + 3X = 5X -14 + 5X + 2X = 7x + -14 Combine like terms: 5X + 2X = 7X -14 + 7X = 7x + -14 Reorder the terms: -14 + 7X = -14 + 7x Add '14' to each side of the equation. -14 + 14 + 7X = -14 + 14 + 7x Combine like terms: -14 + 14 = 0 0 + 7X = -14 + 14 + 7x 7X = -14 + 14 + 7x Combine like terms: -14 + 14 = 0 7X = 0 + 7x 7X = 7x Solving 7X = 7x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Divide each side by '7'. X = x Simplifying X = x
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