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Simplifying (7x2 + 5x + 2) + -1(7x2 + 5) = 8x + 11 Reorder the terms: (2 + 5x + 7x2) + -1(7x2 + 5) = 8x + 11 Remove parenthesis around (2 + 5x + 7x2) 2 + 5x + 7x2 + -1(7x2 + 5) = 8x + 11 Reorder the terms: 2 + 5x + 7x2 + -1(5 + 7x2) = 8x + 11 2 + 5x + 7x2 + (5 * -1 + 7x2 * -1) = 8x + 11 2 + 5x + 7x2 + (-5 + -7x2) = 8x + 11 Reorder the terms: 2 + -5 + 5x + 7x2 + -7x2 = 8x + 11 Combine like terms: 2 + -5 = -3 -3 + 5x + 7x2 + -7x2 = 8x + 11 Combine like terms: 7x2 + -7x2 = 0 -3 + 5x + 0 = 8x + 11 -3 + 5x = 8x + 11 Reorder the terms: -3 + 5x = 11 + 8x Solving -3 + 5x = 11 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -3 + 5x + -8x = 11 + 8x + -8x Combine like terms: 5x + -8x = -3x -3 + -3x = 11 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + -3x = 11 + 0 -3 + -3x = 11 Add '3' to each side of the equation. -3 + 3 + -3x = 11 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = 11 + 3 -3x = 11 + 3 Combine like terms: 11 + 3 = 14 -3x = 14 Divide each side by '-3'. x = -4.666666667 Simplifying x = -4.666666667
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