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Simplifying 2x2 + 8x + -6 = 2x2 + 9x + 7 Reorder the terms: -6 + 8x + 2x2 = 2x2 + 9x + 7 Reorder the terms: -6 + 8x + 2x2 = 7 + 9x + 2x2 Add '-2x2' to each side of the equation. -6 + 8x + 2x2 + -2x2 = 7 + 9x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -6 + 8x + 0 = 7 + 9x + 2x2 + -2x2 -6 + 8x = 7 + 9x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -6 + 8x = 7 + 9x + 0 -6 + 8x = 7 + 9x Solving -6 + 8x = 7 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -6 + 8x + -9x = 7 + 9x + -9x Combine like terms: 8x + -9x = -1x -6 + -1x = 7 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + -1x = 7 + 0 -6 + -1x = 7 Add '6' to each side of the equation. -6 + 6 + -1x = 7 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 7 + 6 -1x = 7 + 6 Combine like terms: 7 + 6 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13
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