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Simplifying x2 + -14x + -7 = x2 + -15x + 2 Reorder the terms: -7 + -14x + x2 = x2 + -15x + 2 Reorder the terms: -7 + -14x + x2 = 2 + -15x + x2 Add '-1x2' to each side of the equation. -7 + -14x + x2 + -1x2 = 2 + -15x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -7 + -14x + 0 = 2 + -15x + x2 + -1x2 -7 + -14x = 2 + -15x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -7 + -14x = 2 + -15x + 0 -7 + -14x = 2 + -15x Solving -7 + -14x = 2 + -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. -7 + -14x + 15x = 2 + -15x + 15x Combine like terms: -14x + 15x = 1x -7 + 1x = 2 + -15x + 15x Combine like terms: -15x + 15x = 0 -7 + 1x = 2 + 0 -7 + 1x = 2 Add '7' to each side of the equation. -7 + 7 + 1x = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 2 + 7 1x = 2 + 7 Combine like terms: 2 + 7 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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