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Simplifying 3x5 + -12x4 + 3x3 + -1X2 + 15 = n(11) Reorder the terms: 15 + -1X2 + 3x3 + -12x4 + 3x5 = n(11) Reorder the terms for easier multiplication: 15 + -1X2 + 3x3 + -12x4 + 3x5 = 11n Solving 15 + -1X2 + 3x3 + -12x4 + 3x5 = 11n Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -1X2 + 3x3 + -12x4 + -15 + 3x5 = -15 + 11n Reorder the terms: 15 + -15 + -1X2 + 3x3 + -12x4 + 3x5 = -15 + 11n Combine like terms: 15 + -15 = 0 0 + -1X2 + 3x3 + -12x4 + 3x5 = -15 + 11n -1X2 + 3x3 + -12x4 + 3x5 = -15 + 11n Add '-3x3' to each side of the equation. -1X2 + 3x3 + -12x4 + -3x3 + 3x5 = -15 + 11n + -3x3 Reorder the terms: -1X2 + 3x3 + -3x3 + -12x4 + 3x5 = -15 + 11n + -3x3 Combine like terms: 3x3 + -3x3 = 0 -1X2 + 0 + -12x4 + 3x5 = -15 + 11n + -3x3 -1X2 + -12x4 + 3x5 = -15 + 11n + -3x3 Add '12x4' to each side of the equation. -1X2 + -12x4 + 12x4 + 3x5 = -15 + 11n + -3x3 + 12x4 Combine like terms: -12x4 + 12x4 = 0 -1X2 + 0 + 3x5 = -15 + 11n + -3x3 + 12x4 -1X2 + 3x5 = -15 + 11n + -3x3 + 12x4 Add '-3x5' to each side of the equation. -1X2 + 3x5 + -3x5 = -15 + 11n + -3x3 + 12x4 + -3x5 Combine like terms: 3x5 + -3x5 = 0 -1X2 + 0 = -15 + 11n + -3x3 + 12x4 + -3x5 -1X2 = -15 + 11n + -3x3 + 12x4 + -3x5 Divide each side by '-1'. X2 = 15 + -11n + 3x3 + -12x4 + 3x5 Simplifying X2 = 15 + -11n + 3x3 + -12x4 + 3x5 Reorder the terms: -15 + X2 + 11n + -3x3 + 12x4 + -3x5 = 15 + -11n + 3x3 + -12x4 + 3x5 + -15 + 11n + -3x3 + 12x4 + -3x5 Reorder the terms: -15 + X2 + 11n + -3x3 + 12x4 + -3x5 = 15 + -15 + -11n + 11n + 3x3 + -3x3 + -12x4 + 12x4 + 3x5 + -3x5 Combine like terms: 15 + -15 = 0 -15 + X2 + 11n + -3x3 + 12x4 + -3x5 = 0 + -11n + 11n + 3x3 + -3x3 + -12x4 + 12x4 + 3x5 + -3x5 -15 + X2 + 11n + -3x3 + 12x4 + -3x5 = -11n + 11n + 3x3 + -3x3 + -12x4 + 12x4 + 3x5 + -3x5 Combine like terms: -11n + 11n = 0 -15 + X2 + 11n + -3x3 + 12x4 + -3x5 = 0 + 3x3 + -3x3 + -12x4 + 12x4 + 3x5 + -3x5 -15 + X2 + 11n + -3x3 + 12x4 + -3x5 = 3x3 + -3x3 + -12x4 + 12x4 + 3x5 + -3x5 Combine like terms: 3x3 + -3x3 = 0 -15 + X2 + 11n + -3x3 + 12x4 + -3x5 = 0 + -12x4 + 12x4 + 3x5 + -3x5 -15 + X2 + 11n + -3x3 + 12x4 + -3x5 = -12x4 + 12x4 + 3x5 + -3x5 Combine like terms: -12x4 + 12x4 = 0 -15 + X2 + 11n + -3x3 + 12x4 + -3x5 = 0 + 3x5 + -3x5 -15 + X2 + 11n + -3x3 + 12x4 + -3x5 = 3x5 + -3x5 Combine like terms: 3x5 + -3x5 = 0 -15 + X2 + 11n + -3x3 + 12x4 + -3x5 = 0 The solution to this equation could not be determined.
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