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Simplifying 9 = 3(X + -4) + -1(X + -7) Reorder the terms: 9 = 3(-4 + X) + -1(X + -7) 9 = (-4 * 3 + X * 3) + -1(X + -7) 9 = (-12 + 3X) + -1(X + -7) Reorder the terms: 9 = -12 + 3X + -1(-7 + X) 9 = -12 + 3X + (-7 * -1 + X * -1) 9 = -12 + 3X + (7 + -1X) Reorder the terms: 9 = -12 + 7 + 3X + -1X Combine like terms: -12 + 7 = -5 9 = -5 + 3X + -1X Combine like terms: 3X + -1X = 2X 9 = -5 + 2X Solving 9 = -5 + 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. 9 + -2X = -5 + 2X + -2X Combine like terms: 2X + -2X = 0 9 + -2X = -5 + 0 9 + -2X = -5 Add '-9' to each side of the equation. 9 + -9 + -2X = -5 + -9 Combine like terms: 9 + -9 = 0 0 + -2X = -5 + -9 -2X = -5 + -9 Combine like terms: -5 + -9 = -14 -2X = -14 Divide each side by '-2'. X = 7 Simplifying X = 7
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