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Simplifying 150 + 2x + -50 + x + 40 + 30 + x + 20 + X = (n + -2) * 180 Reorder the terms: 150 + -50 + 40 + 30 + 20 + X + 2x + x + x = (n + -2) * 180 Combine like terms: 150 + -50 = 100 100 + 40 + 30 + 20 + X + 2x + x + x = (n + -2) * 180 Combine like terms: 100 + 40 = 140 140 + 30 + 20 + X + 2x + x + x = (n + -2) * 180 Combine like terms: 140 + 30 = 170 170 + 20 + X + 2x + x + x = (n + -2) * 180 Combine like terms: 170 + 20 = 190 190 + X + 2x + x + x = (n + -2) * 180 Combine like terms: 2x + x = 3x 190 + X + 3x + x = (n + -2) * 180 Combine like terms: 3x + x = 4x 190 + X + 4x = (n + -2) * 180 Reorder the terms: 190 + X + 4x = (-2 + n) * 180 Reorder the terms for easier multiplication: 190 + X + 4x = 180(-2 + n) 190 + X + 4x = (-2 * 180 + n * 180) 190 + X + 4x = (-360 + 180n) Solving 190 + X + 4x = -360 + 180n Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-190' to each side of the equation. 190 + X + -190 + 4x = -360 + -190 + 180n Reorder the terms: 190 + -190 + X + 4x = -360 + -190 + 180n Combine like terms: 190 + -190 = 0 0 + X + 4x = -360 + -190 + 180n X + 4x = -360 + -190 + 180n Combine like terms: -360 + -190 = -550 X + 4x = -550 + 180n Add '-4x' to each side of the equation. X + 4x + -4x = -550 + 180n + -4x Combine like terms: 4x + -4x = 0 X + 0 = -550 + 180n + -4x X = -550 + 180n + -4x Simplifying X = -550 + 180n + -4x
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