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Simplifying (8x2 + -3x + -5) + -1(5x2 + 2) = 3x2 + 10 Reorder the terms: (-5 + -3x + 8x2) + -1(5x2 + 2) = 3x2 + 10 Remove parenthesis around (-5 + -3x + 8x2) -5 + -3x + 8x2 + -1(5x2 + 2) = 3x2 + 10 Reorder the terms: -5 + -3x + 8x2 + -1(2 + 5x2) = 3x2 + 10 -5 + -3x + 8x2 + (2 * -1 + 5x2 * -1) = 3x2 + 10 -5 + -3x + 8x2 + (-2 + -5x2) = 3x2 + 10 Reorder the terms: -5 + -2 + -3x + 8x2 + -5x2 = 3x2 + 10 Combine like terms: -5 + -2 = -7 -7 + -3x + 8x2 + -5x2 = 3x2 + 10 Combine like terms: 8x2 + -5x2 = 3x2 -7 + -3x + 3x2 = 3x2 + 10 Reorder the terms: -7 + -3x + 3x2 = 10 + 3x2 Add '-3x2' to each side of the equation. -7 + -3x + 3x2 + -3x2 = 10 + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -7 + -3x + 0 = 10 + 3x2 + -3x2 -7 + -3x = 10 + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -7 + -3x = 10 + 0 -7 + -3x = 10 Solving -7 + -3x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3x = 10 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 10 + 7 -3x = 10 + 7 Combine like terms: 10 + 7 = 17 -3x = 17 Divide each side by '-3'. x = -5.666666667 Simplifying x = -5.666666667
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