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Simplifying 9(12 + -7X) = 6(2X + -7) (12 * 9 + -7X * 9) = 6(2X + -7) (108 + -63X) = 6(2X + -7) Reorder the terms: 108 + -63X = 6(-7 + 2X) 108 + -63X = (-7 * 6 + 2X * 6) 108 + -63X = (-42 + 12X) Solving 108 + -63X = -42 + 12X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-12X' to each side of the equation. 108 + -63X + -12X = -42 + 12X + -12X Combine like terms: -63X + -12X = -75X 108 + -75X = -42 + 12X + -12X Combine like terms: 12X + -12X = 0 108 + -75X = -42 + 0 108 + -75X = -42 Add '-108' to each side of the equation. 108 + -108 + -75X = -42 + -108 Combine like terms: 108 + -108 = 0 0 + -75X = -42 + -108 -75X = -42 + -108 Combine like terms: -42 + -108 = -150 -75X = -150 Divide each side by '-75'. X = 2 Simplifying X = 2
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