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Simplifying (4x2 + 5x + 2) + -1(4x2 + 4) = 8x + 11 Reorder the terms: (2 + 5x + 4x2) + -1(4x2 + 4) = 8x + 11 Remove parenthesis around (2 + 5x + 4x2) 2 + 5x + 4x2 + -1(4x2 + 4) = 8x + 11 Reorder the terms: 2 + 5x + 4x2 + -1(4 + 4x2) = 8x + 11 2 + 5x + 4x2 + (4 * -1 + 4x2 * -1) = 8x + 11 2 + 5x + 4x2 + (-4 + -4x2) = 8x + 11 Reorder the terms: 2 + -4 + 5x + 4x2 + -4x2 = 8x + 11 Combine like terms: 2 + -4 = -2 -2 + 5x + 4x2 + -4x2 = 8x + 11 Combine like terms: 4x2 + -4x2 = 0 -2 + 5x + 0 = 8x + 11 -2 + 5x = 8x + 11 Reorder the terms: -2 + 5x = 11 + 8x Solving -2 + 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. -2 + 5x + -8x = 11 + 8x + -8x Combine like terms: 5x + -8x = -3x -2 + -3x = 11 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + -3x = 11 + 0 -2 + -3x = 11 Add '2' to each side of the equation. -2 + 2 + -3x = 11 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 11 + 2 -3x = 11 + 2 Combine like terms: 11 + 2 = 13 -3x = 13 Divide each side by '-3'. x = -4.333333333 Simplifying x = -4.333333333
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