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Simplifying 7X + -2(5 + -4X) = 9X + -4 + -1(X + 1) 7X + (5 * -2 + -4X * -2) = 9X + -4 + -1(X + 1) 7X + (-10 + 8X) = 9X + -4 + -1(X + 1) Reorder the terms: -10 + 7X + 8X = 9X + -4 + -1(X + 1) Combine like terms: 7X + 8X = 15X -10 + 15X = 9X + -4 + -1(X + 1) Reorder the terms: -10 + 15X = 9X + -4 + -1(1 + X) -10 + 15X = 9X + -4 + (1 * -1 + X * -1) -10 + 15X = 9X + -4 + (-1 + -1X) Reorder the terms: -10 + 15X = -4 + -1 + 9X + -1X Combine like terms: -4 + -1 = -5 -10 + 15X = -5 + 9X + -1X Combine like terms: 9X + -1X = 8X -10 + 15X = -5 + 8X Solving -10 + 15X = -5 + 8X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8X' to each side of the equation. -10 + 15X + -8X = -5 + 8X + -8X Combine like terms: 15X + -8X = 7X -10 + 7X = -5 + 8X + -8X Combine like terms: 8X + -8X = 0 -10 + 7X = -5 + 0 -10 + 7X = -5 Add '10' to each side of the equation. -10 + 10 + 7X = -5 + 10 Combine like terms: -10 + 10 = 0 0 + 7X = -5 + 10 7X = -5 + 10 Combine like terms: -5 + 10 = 5 7X = 5 Divide each side by '7'. X = 0.7142857143 Simplifying X = 0.7142857143
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