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Simplifying (4x2 + 5x + 1) + -1(4x2 + 4) = 8x + 16 Reorder the terms: (1 + 5x + 4x2) + -1(4x2 + 4) = 8x + 16 Remove parenthesis around (1 + 5x + 4x2) 1 + 5x + 4x2 + -1(4x2 + 4) = 8x + 16 Reorder the terms: 1 + 5x + 4x2 + -1(4 + 4x2) = 8x + 16 1 + 5x + 4x2 + (4 * -1 + 4x2 * -1) = 8x + 16 1 + 5x + 4x2 + (-4 + -4x2) = 8x + 16 Reorder the terms: 1 + -4 + 5x + 4x2 + -4x2 = 8x + 16 Combine like terms: 1 + -4 = -3 -3 + 5x + 4x2 + -4x2 = 8x + 16 Combine like terms: 4x2 + -4x2 = 0 -3 + 5x + 0 = 8x + 16 -3 + 5x = 8x + 16 Reorder the terms: -3 + 5x = 16 + 8x Solving -3 + 5x = 16 + 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 = 16 + 8x + -8x Combine like terms: 5x + -8x = -3x -3 + -3x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + -3x = 16 + 0 -3 + -3x = 16 Add '3' to each side of the equation. -3 + 3 + -3x = 16 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = 16 + 3 -3x = 16 + 3 Combine like terms: 16 + 3 = 19 -3x = 19 Divide each side by '-3'. x = -6.333333333 Simplifying x = -6.333333333
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