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Simplifying 7X + -2(5 + -4X) = 9X + -4(X + 1) 7X + (5 * -2 + -4X * -2) = 9X + -4(X + 1) 7X + (-10 + 8X) = 9X + -4(X + 1) Reorder the terms: -10 + 7X + 8X = 9X + -4(X + 1) Combine like terms: 7X + 8X = 15X -10 + 15X = 9X + -4(X + 1) Reorder the terms: -10 + 15X = 9X + -4(1 + X) -10 + 15X = 9X + (1 * -4 + X * -4) -10 + 15X = 9X + (-4 + -4X) Reorder the terms: -10 + 15X = -4 + 9X + -4X Combine like terms: 9X + -4X = 5X -10 + 15X = -4 + 5X Solving -10 + 15X = -4 + 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. -10 + 15X + -5X = -4 + 5X + -5X Combine like terms: 15X + -5X = 10X -10 + 10X = -4 + 5X + -5X Combine like terms: 5X + -5X = 0 -10 + 10X = -4 + 0 -10 + 10X = -4 Add '10' to each side of the equation. -10 + 10 + 10X = -4 + 10 Combine like terms: -10 + 10 = 0 0 + 10X = -4 + 10 10X = -4 + 10 Combine like terms: -4 + 10 = 6 10X = 6 Divide each side by '10'. X = 0.6 Simplifying X = 0.6
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