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Simplifying 5(5x + 1) = -5(2x + -5) + 2 Reorder the terms: 5(1 + 5x) = -5(2x + -5) + 2 (1 * 5 + 5x * 5) = -5(2x + -5) + 2 (5 + 25x) = -5(2x + -5) + 2 Reorder the terms: 5 + 25x = -5(-5 + 2x) + 2 5 + 25x = (-5 * -5 + 2x * -5) + 2 5 + 25x = (25 + -10x) + 2 Reorder the terms: 5 + 25x = 25 + 2 + -10x Combine like terms: 25 + 2 = 27 5 + 25x = 27 + -10x Solving 5 + 25x = 27 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 5 + 25x + 10x = 27 + -10x + 10x Combine like terms: 25x + 10x = 35x 5 + 35x = 27 + -10x + 10x Combine like terms: -10x + 10x = 0 5 + 35x = 27 + 0 5 + 35x = 27 Add '-5' to each side of the equation. 5 + -5 + 35x = 27 + -5 Combine like terms: 5 + -5 = 0 0 + 35x = 27 + -5 35x = 27 + -5 Combine like terms: 27 + -5 = 22 35x = 22 Divide each side by '35'. x = 0.6285714286 Simplifying x = 0.6285714286
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