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Simplifying x2 + 10 + -19 = x2 + -3x + 85 Reorder the terms: 10 + -19 + x2 = x2 + -3x + 85 Combine like terms: 10 + -19 = -9 -9 + x2 = x2 + -3x + 85 Reorder the terms: -9 + x2 = 85 + -3x + x2 Add '-1x2' to each side of the equation. -9 + x2 + -1x2 = 85 + -3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -9 + 0 = 85 + -3x + x2 + -1x2 -9 = 85 + -3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -9 = 85 + -3x + 0 -9 = 85 + -3x Solving -9 = 85 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -9 + 3x = 85 + -3x + 3x Combine like terms: -3x + 3x = 0 -9 + 3x = 85 + 0 -9 + 3x = 85 Add '9' to each side of the equation. -9 + 9 + 3x = 85 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = 85 + 9 3x = 85 + 9 Combine like terms: 85 + 9 = 94 3x = 94 Divide each side by '3'. x = 31.33333333 Simplifying x = 31.33333333
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