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Simplifying 5x + -1 = 14x + -109 Reorder the terms: -1 + 5x = 14x + -109 Reorder the terms: -1 + 5x = -109 + 14x Solving -1 + 5x = -109 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -1 + 5x + -14x = -109 + 14x + -14x Combine like terms: 5x + -14x = -9x -1 + -9x = -109 + 14x + -14x Combine like terms: 14x + -14x = 0 -1 + -9x = -109 + 0 -1 + -9x = -109 Add '1' to each side of the equation. -1 + 1 + -9x = -109 + 1 Combine like terms: -1 + 1 = 0 0 + -9x = -109 + 1 -9x = -109 + 1 Combine like terms: -109 + 1 = -108 -9x = -108 Divide each side by '-9'. x = 12 Simplifying x = 12
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