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Simplifying (25x + 5 + 3) + -1(25x + 9) = 4x + 1 Reorder the terms: (5 + 3 + 25x) + -1(25x + 9) = 4x + 1 Combine like terms: 5 + 3 = 8 (8 + 25x) + -1(25x + 9) = 4x + 1 Remove parenthesis around (8 + 25x) 8 + 25x + -1(25x + 9) = 4x + 1 Reorder the terms: 8 + 25x + -1(9 + 25x) = 4x + 1 8 + 25x + (9 * -1 + 25x * -1) = 4x + 1 8 + 25x + (-9 + -25x) = 4x + 1 Reorder the terms: 8 + -9 + 25x + -25x = 4x + 1 Combine like terms: 8 + -9 = -1 -1 + 25x + -25x = 4x + 1 Combine like terms: 25x + -25x = 0 -1 + 0 = 4x + 1 -1 = 4x + 1 Reorder the terms: -1 = 1 + 4x Solving -1 = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1 + -4x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + -4x = 1 + 0 -1 + -4x = 1 Add '1' to each side of the equation. -1 + 1 + -4x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 1 + 1 -4x = 1 + 1 Combine like terms: 1 + 1 = 2 -4x = 2 Divide each side by '-4'. x = -0.5 Simplifying x = -0.5
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