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Simplifying 5(5x + -2) = -2(5 + 4x) Reorder the terms: 5(-2 + 5x) = -2(5 + 4x) (-2 * 5 + 5x * 5) = -2(5 + 4x) (-10 + 25x) = -2(5 + 4x) -10 + 25x = (5 * -2 + 4x * -2) -10 + 25x = (-10 + -8x) Add '10' to each side of the equation. -10 + 10 + 25x = -10 + 10 + -8x Combine like terms: -10 + 10 = 0 0 + 25x = -10 + 10 + -8x 25x = -10 + 10 + -8x Combine like terms: -10 + 10 = 0 25x = 0 + -8x 25x = -8x Solving 25x = -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. 25x + 8x = -8x + 8x Combine like terms: 25x + 8x = 33x 33x = -8x + 8x Combine like terms: -8x + 8x = 0 33x = 0 Divide each side by '33'. x = 0 Simplifying x = 0
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