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Simplifying 3 + -1(X + -7) + 5 = 2(X + 9) Reorder the terms: 3 + -1(-7 + X) + 5 = 2(X + 9) 3 + (-7 * -1 + X * -1) + 5 = 2(X + 9) 3 + (7 + -1X) + 5 = 2(X + 9) Reorder the terms: 3 + 7 + 5 + -1X = 2(X + 9) Combine like terms: 3 + 7 = 10 10 + 5 + -1X = 2(X + 9) Combine like terms: 10 + 5 = 15 15 + -1X = 2(X + 9) Reorder the terms: 15 + -1X = 2(9 + X) 15 + -1X = (9 * 2 + X * 2) 15 + -1X = (18 + 2X) Solving 15 + -1X = 18 + 2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2X' to each side of the equation. 15 + -1X + -2X = 18 + 2X + -2X Combine like terms: -1X + -2X = -3X 15 + -3X = 18 + 2X + -2X Combine like terms: 2X + -2X = 0 15 + -3X = 18 + 0 15 + -3X = 18 Add '-15' to each side of the equation. 15 + -15 + -3X = 18 + -15 Combine like terms: 15 + -15 = 0 0 + -3X = 18 + -15 -3X = 18 + -15 Combine like terms: 18 + -15 = 3 -3X = 3 Divide each side by '-3'. X = -1 Simplifying X = -1
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