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Simplifying 5x + -7 = 14x + 1 Reorder the terms: -7 + 5x = 14x + 1 Reorder the terms: -7 + 5x = 1 + 14x Solving -7 + 5x = 1 + 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. -7 + 5x + -14x = 1 + 14x + -14x Combine like terms: 5x + -14x = -9x -7 + -9x = 1 + 14x + -14x Combine like terms: 14x + -14x = 0 -7 + -9x = 1 + 0 -7 + -9x = 1 Add '7' to each side of the equation. -7 + 7 + -9x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + -9x = 1 + 7 -9x = 1 + 7 Combine like terms: 1 + 7 = 8 -9x = 8 Divide each side by '-9'. x = -0.8888888889 Simplifying x = -0.8888888889
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