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Simplifying 2(5x + 1) = -5(3x + -5) Reorder the terms: 2(1 + 5x) = -5(3x + -5) (1 * 2 + 5x * 2) = -5(3x + -5) (2 + 10x) = -5(3x + -5) Reorder the terms: 2 + 10x = -5(-5 + 3x) 2 + 10x = (-5 * -5 + 3x * -5) 2 + 10x = (25 + -15x) Solving 2 + 10x = 25 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 2 + 10x + 15x = 25 + -15x + 15x Combine like terms: 10x + 15x = 25x 2 + 25x = 25 + -15x + 15x Combine like terms: -15x + 15x = 0 2 + 25x = 25 + 0 2 + 25x = 25 Add '-2' to each side of the equation. 2 + -2 + 25x = 25 + -2 Combine like terms: 2 + -2 = 0 0 + 25x = 25 + -2 25x = 25 + -2 Combine like terms: 25 + -2 = 23 25x = 23 Divide each side by '25'. x = 0.92 Simplifying x = 0.92
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