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Simplifying X + -5(X + -2) = 2 + -1(15 + -7X) Reorder the terms: X + -5(-2 + X) = 2 + -1(15 + -7X) X + (-2 * -5 + X * -5) = 2 + -1(15 + -7X) X + (10 + -5X) = 2 + -1(15 + -7X) Reorder the terms: 10 + X + -5X = 2 + -1(15 + -7X) Combine like terms: X + -5X = -4X 10 + -4X = 2 + -1(15 + -7X) 10 + -4X = 2 + (15 * -1 + -7X * -1) 10 + -4X = 2 + (-15 + 7X) Combine like terms: 2 + -15 = -13 10 + -4X = -13 + 7X Solving 10 + -4X = -13 + 7X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7X' to each side of the equation. 10 + -4X + -7X = -13 + 7X + -7X Combine like terms: -4X + -7X = -11X 10 + -11X = -13 + 7X + -7X Combine like terms: 7X + -7X = 0 10 + -11X = -13 + 0 10 + -11X = -13 Add '-10' to each side of the equation. 10 + -10 + -11X = -13 + -10 Combine like terms: 10 + -10 = 0 0 + -11X = -13 + -10 -11X = -13 + -10 Combine like terms: -13 + -10 = -23 -11X = -23 Divide each side by '-11'. X = 2.090909091 Simplifying X = 2.090909091
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