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Simplifying x2 + 12x + -106 = x2 + -6x + -16 Reorder the terms: -106 + 12x + x2 = x2 + -6x + -16 Reorder the terms: -106 + 12x + x2 = -16 + -6x + x2 Add '-1x2' to each side of the equation. -106 + 12x + x2 + -1x2 = -16 + -6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -106 + 12x + 0 = -16 + -6x + x2 + -1x2 -106 + 12x = -16 + -6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -106 + 12x = -16 + -6x + 0 -106 + 12x = -16 + -6x Solving -106 + 12x = -16 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -106 + 12x + 6x = -16 + -6x + 6x Combine like terms: 12x + 6x = 18x -106 + 18x = -16 + -6x + 6x Combine like terms: -6x + 6x = 0 -106 + 18x = -16 + 0 -106 + 18x = -16 Add '106' to each side of the equation. -106 + 106 + 18x = -16 + 106 Combine like terms: -106 + 106 = 0 0 + 18x = -16 + 106 18x = -16 + 106 Combine like terms: -16 + 106 = 90 18x = 90 Divide each side by '18'. x = 5 Simplifying x = 5
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