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Simplifying 2(1 + -5x) = 3(5x + 1) (1 * 2 + -5x * 2) = 3(5x + 1) (2 + -10x) = 3(5x + 1) Reorder the terms: 2 + -10x = 3(1 + 5x) 2 + -10x = (1 * 3 + 5x * 3) 2 + -10x = (3 + 15x) Solving 2 + -10x = 3 + 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 = 3 + 15x + -15x Combine like terms: -10x + -15x = -25x 2 + -25x = 3 + 15x + -15x Combine like terms: 15x + -15x = 0 2 + -25x = 3 + 0 2 + -25x = 3 Add '-2' to each side of the equation. 2 + -2 + -25x = 3 + -2 Combine like terms: 2 + -2 = 0 0 + -25x = 3 + -2 -25x = 3 + -2 Combine like terms: 3 + -2 = 1 -25x = 1 Divide each side by '-25'. x = -0.04 Simplifying x = -0.04
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