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Simplifying (4x2 + 4x + 1) + -1(4x2 + 2) = 8x + 16 Reorder the terms: (1 + 4x + 4x2) + -1(4x2 + 2) = 8x + 16 Remove parenthesis around (1 + 4x + 4x2) 1 + 4x + 4x2 + -1(4x2 + 2) = 8x + 16 Reorder the terms: 1 + 4x + 4x2 + -1(2 + 4x2) = 8x + 16 1 + 4x + 4x2 + (2 * -1 + 4x2 * -1) = 8x + 16 1 + 4x + 4x2 + (-2 + -4x2) = 8x + 16 Reorder the terms: 1 + -2 + 4x + 4x2 + -4x2 = 8x + 16 Combine like terms: 1 + -2 = -1 -1 + 4x + 4x2 + -4x2 = 8x + 16 Combine like terms: 4x2 + -4x2 = 0 -1 + 4x + 0 = 8x + 16 -1 + 4x = 8x + 16 Reorder the terms: -1 + 4x = 16 + 8x Solving -1 + 4x = 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. -1 + 4x + -8x = 16 + 8x + -8x Combine like terms: 4x + -8x = -4x -1 + -4x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 -1 + -4x = 16 + 0 -1 + -4x = 16 Add '1' to each side of the equation. -1 + 1 + -4x = 16 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 16 + 1 -4x = 16 + 1 Combine like terms: 16 + 1 = 17 -4x = 17 Divide each side by '-4'. x = -4.25 Simplifying x = -4.25
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