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Simplifying 11x + -214 = 18x + 171 Reorder the terms: -214 + 11x = 18x + 171 Reorder the terms: -214 + 11x = 171 + 18x Solving -214 + 11x = 171 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -214 + 11x + -18x = 171 + 18x + -18x Combine like terms: 11x + -18x = -7x -214 + -7x = 171 + 18x + -18x Combine like terms: 18x + -18x = 0 -214 + -7x = 171 + 0 -214 + -7x = 171 Add '214' to each side of the equation. -214 + 214 + -7x = 171 + 214 Combine like terms: -214 + 214 = 0 0 + -7x = 171 + 214 -7x = 171 + 214 Combine like terms: 171 + 214 = 385 -7x = 385 Divide each side by '-7'. x = -55 Simplifying x = -55
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