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Simplifying 8(1 + 5x) * 5 = 13 + 5x Reorder the terms for easier multiplication: 8 * 5(1 + 5x) = 13 + 5x Multiply 8 * 5 40(1 + 5x) = 13 + 5x (1 * 40 + 5x * 40) = 13 + 5x (40 + 200x) = 13 + 5x Solving 40 + 200x = 13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 40 + 200x + -5x = 13 + 5x + -5x Combine like terms: 200x + -5x = 195x 40 + 195x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 40 + 195x = 13 + 0 40 + 195x = 13 Add '-40' to each side of the equation. 40 + -40 + 195x = 13 + -40 Combine like terms: 40 + -40 = 0 0 + 195x = 13 + -40 195x = 13 + -40 Combine like terms: 13 + -40 = -27 195x = -27 Divide each side by '195'. x = -0.1384615385 Simplifying x = -0.1384615385
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