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Simplifying x2 + -14x + -4 = x2 + -15x + 14 Reorder the terms: -4 + -14x + x2 = x2 + -15x + 14 Reorder the terms: -4 + -14x + x2 = 14 + -15x + x2 Add '-1x2' to each side of the equation. -4 + -14x + x2 + -1x2 = 14 + -15x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4 + -14x + 0 = 14 + -15x + x2 + -1x2 -4 + -14x = 14 + -15x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4 + -14x = 14 + -15x + 0 -4 + -14x = 14 + -15x Solving -4 + -14x = 14 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -4 + -14x + 15x = 14 + -15x + 15x Combine like terms: -14x + 15x = 1x -4 + 1x = 14 + -15x + 15x Combine like terms: -15x + 15x = 0 -4 + 1x = 14 + 0 -4 + 1x = 14 Add '4' to each side of the equation. -4 + 4 + 1x = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 14 + 4 1x = 14 + 4 Combine like terms: 14 + 4 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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