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Simplifying 2(4x + 5) = -5(5x + -4) Reorder the terms: 2(5 + 4x) = -5(5x + -4) (5 * 2 + 4x * 2) = -5(5x + -4) (10 + 8x) = -5(5x + -4) Reorder the terms: 10 + 8x = -5(-4 + 5x) 10 + 8x = (-4 * -5 + 5x * -5) 10 + 8x = (20 + -25x) Solving 10 + 8x = 20 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. 10 + 8x + 25x = 20 + -25x + 25x Combine like terms: 8x + 25x = 33x 10 + 33x = 20 + -25x + 25x Combine like terms: -25x + 25x = 0 10 + 33x = 20 + 0 10 + 33x = 20 Add '-10' to each side of the equation. 10 + -10 + 33x = 20 + -10 Combine like terms: 10 + -10 = 0 0 + 33x = 20 + -10 33x = 20 + -10 Combine like terms: 20 + -10 = 10 33x = 10 Divide each side by '33'. x = 0.303030303 Simplifying x = 0.303030303
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