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Simplifying (10x2 + -3x + -9) + -1(5x2 + 1) = 5x2 + 13 Reorder the terms: (-9 + -3x + 10x2) + -1(5x2 + 1) = 5x2 + 13 Remove parenthesis around (-9 + -3x + 10x2) -9 + -3x + 10x2 + -1(5x2 + 1) = 5x2 + 13 Reorder the terms: -9 + -3x + 10x2 + -1(1 + 5x2) = 5x2 + 13 -9 + -3x + 10x2 + (1 * -1 + 5x2 * -1) = 5x2 + 13 -9 + -3x + 10x2 + (-1 + -5x2) = 5x2 + 13 Reorder the terms: -9 + -1 + -3x + 10x2 + -5x2 = 5x2 + 13 Combine like terms: -9 + -1 = -10 -10 + -3x + 10x2 + -5x2 = 5x2 + 13 Combine like terms: 10x2 + -5x2 = 5x2 -10 + -3x + 5x2 = 5x2 + 13 Reorder the terms: -10 + -3x + 5x2 = 13 + 5x2 Add '-5x2' to each side of the equation. -10 + -3x + 5x2 + -5x2 = 13 + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -10 + -3x + 0 = 13 + 5x2 + -5x2 -10 + -3x = 13 + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -10 + -3x = 13 + 0 -10 + -3x = 13 Solving -10 + -3x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3x = 13 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = 13 + 10 -3x = 13 + 10 Combine like terms: 13 + 10 = 23 -3x = 23 Divide each side by '-3'. x = -7.666666667 Simplifying x = -7.666666667
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