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Simplifying 5x + -19 = 14x + 71 Reorder the terms: -19 + 5x = 14x + 71 Reorder the terms: -19 + 5x = 71 + 14x Solving -19 + 5x = 71 + 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. -19 + 5x + -14x = 71 + 14x + -14x Combine like terms: 5x + -14x = -9x -19 + -9x = 71 + 14x + -14x Combine like terms: 14x + -14x = 0 -19 + -9x = 71 + 0 -19 + -9x = 71 Add '19' to each side of the equation. -19 + 19 + -9x = 71 + 19 Combine like terms: -19 + 19 = 0 0 + -9x = 71 + 19 -9x = 71 + 19 Combine like terms: 71 + 19 = 90 -9x = 90 Divide each side by '-9'. x = -10 Simplifying x = -10
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