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Simplifying x2 + -6x + -7 = x2 + -2x + -15 Reorder the terms: -7 + -6x + x2 = x2 + -2x + -15 Reorder the terms: -7 + -6x + x2 = -15 + -2x + x2 Add '-1x2' to each side of the equation. -7 + -6x + x2 + -1x2 = -15 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -7 + -6x + 0 = -15 + -2x + x2 + -1x2 -7 + -6x = -15 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -7 + -6x = -15 + -2x + 0 -7 + -6x = -15 + -2x Solving -7 + -6x = -15 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -7 + -6x + 2x = -15 + -2x + 2x Combine like terms: -6x + 2x = -4x -7 + -4x = -15 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + -4x = -15 + 0 -7 + -4x = -15 Add '7' to each side of the equation. -7 + 7 + -4x = -15 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = -15 + 7 -4x = -15 + 7 Combine like terms: -15 + 7 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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