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Simplifying (25x + 4x + 4) + -1(25x + 5) = 8x + 16 Reorder the terms: (4 + 25x + 4x) + -1(25x + 5) = 8x + 16 Combine like terms: 25x + 4x = 29x (4 + 29x) + -1(25x + 5) = 8x + 16 Remove parenthesis around (4 + 29x) 4 + 29x + -1(25x + 5) = 8x + 16 Reorder the terms: 4 + 29x + -1(5 + 25x) = 8x + 16 4 + 29x + (5 * -1 + 25x * -1) = 8x + 16 4 + 29x + (-5 + -25x) = 8x + 16 Reorder the terms: 4 + -5 + 29x + -25x = 8x + 16 Combine like terms: 4 + -5 = -1 -1 + 29x + -25x = 8x + 16 Combine like terms: 29x + -25x = 4x -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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