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Simplifying 12(10X + 10) + -1X = 9(7X + -9) + 12 Reorder the terms: 12(10 + 10X) + -1X = 9(7X + -9) + 12 (10 * 12 + 10X * 12) + -1X = 9(7X + -9) + 12 (120 + 120X) + -1X = 9(7X + -9) + 12 Combine like terms: 120X + -1X = 119X 120 + 119X = 9(7X + -9) + 12 Reorder the terms: 120 + 119X = 9(-9 + 7X) + 12 120 + 119X = (-9 * 9 + 7X * 9) + 12 120 + 119X = (-81 + 63X) + 12 Reorder the terms: 120 + 119X = -81 + 12 + 63X Combine like terms: -81 + 12 = -69 120 + 119X = -69 + 63X Solving 120 + 119X = -69 + 63X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-63X' to each side of the equation. 120 + 119X + -63X = -69 + 63X + -63X Combine like terms: 119X + -63X = 56X 120 + 56X = -69 + 63X + -63X Combine like terms: 63X + -63X = 0 120 + 56X = -69 + 0 120 + 56X = -69 Add '-120' to each side of the equation. 120 + -120 + 56X = -69 + -120 Combine like terms: 120 + -120 = 0 0 + 56X = -69 + -120 56X = -69 + -120 Combine like terms: -69 + -120 = -189 56X = -189 Divide each side by '56'. X = -3.375 Simplifying X = -3.375
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