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Simplifying (5x * x + x + 3) + -1(5x * x + 9) = 4x + -1 Multiply x * x (5x2 + x + 3) + -1(5x * x + 9) = 4x + -1 Reorder the terms: (3 + x + 5x2) + -1(5x * x + 9) = 4x + -1 Remove parenthesis around (3 + x + 5x2) 3 + x + 5x2 + -1(5x * x + 9) = 4x + -1 Multiply x * x 3 + x + 5x2 + -1(5x2 + 9) = 4x + -1 Reorder the terms: 3 + x + 5x2 + -1(9 + 5x2) = 4x + -1 3 + x + 5x2 + (9 * -1 + 5x2 * -1) = 4x + -1 3 + x + 5x2 + (-9 + -5x2) = 4x + -1 Reorder the terms: 3 + -9 + x + 5x2 + -5x2 = 4x + -1 Combine like terms: 3 + -9 = -6 -6 + x + 5x2 + -5x2 = 4x + -1 Combine like terms: 5x2 + -5x2 = 0 -6 + x + 0 = 4x + -1 -6 + x = 4x + -1 Reorder the terms: -6 + x = -1 + 4x Solving -6 + x = -1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + x + -4x = -1 + 4x + -4x Combine like terms: x + -4x = -3x -6 + -3x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -3x = -1 + 0 -6 + -3x = -1 Add '6' to each side of the equation. -6 + 6 + -3x = -1 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = -1 + 6 -3x = -1 + 6 Combine like terms: -1 + 6 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667
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