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Simplifying 5(5x + 2) = -4(4x + -4) Reorder the terms: 5(2 + 5x) = -4(4x + -4) (2 * 5 + 5x * 5) = -4(4x + -4) (10 + 25x) = -4(4x + -4) Reorder the terms: 10 + 25x = -4(-4 + 4x) 10 + 25x = (-4 * -4 + 4x * -4) 10 + 25x = (16 + -16x) Solving 10 + 25x = 16 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 10 + 25x + 16x = 16 + -16x + 16x Combine like terms: 25x + 16x = 41x 10 + 41x = 16 + -16x + 16x Combine like terms: -16x + 16x = 0 10 + 41x = 16 + 0 10 + 41x = 16 Add '-10' to each side of the equation. 10 + -10 + 41x = 16 + -10 Combine like terms: 10 + -10 = 0 0 + 41x = 16 + -10 41x = 16 + -10 Combine like terms: 16 + -10 = 6 41x = 6 Divide each side by '41'. x = 0.1463414634 Simplifying x = 0.1463414634
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