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Simplifying 5(5x + -2) = 4(x + 8) Reorder the terms: 5(-2 + 5x) = 4(x + 8) (-2 * 5 + 5x * 5) = 4(x + 8) (-10 + 25x) = 4(x + 8) Reorder the terms: -10 + 25x = 4(8 + x) -10 + 25x = (8 * 4 + x * 4) -10 + 25x = (32 + 4x) Solving -10 + 25x = 32 + 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. -10 + 25x + -4x = 32 + 4x + -4x Combine like terms: 25x + -4x = 21x -10 + 21x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 21x = 32 + 0 -10 + 21x = 32 Add '10' to each side of the equation. -10 + 10 + 21x = 32 + 10 Combine like terms: -10 + 10 = 0 0 + 21x = 32 + 10 21x = 32 + 10 Combine like terms: 32 + 10 = 42 21x = 42 Divide each side by '21'. x = 2 Simplifying x = 2
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