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Simplifying 5(3x + 5) = 5(8x + 5) Reorder the terms: 5(5 + 3x) = 5(8x + 5) (5 * 5 + 3x * 5) = 5(8x + 5) (25 + 15x) = 5(8x + 5) Reorder the terms: 25 + 15x = 5(5 + 8x) 25 + 15x = (5 * 5 + 8x * 5) 25 + 15x = (25 + 40x) Add '-25' to each side of the equation. 25 + -25 + 15x = 25 + -25 + 40x Combine like terms: 25 + -25 = 0 0 + 15x = 25 + -25 + 40x 15x = 25 + -25 + 40x Combine like terms: 25 + -25 = 0 15x = 0 + 40x 15x = 40x Solving 15x = 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 15x + -40x = 40x + -40x Combine like terms: 15x + -40x = -25x -25x = 40x + -40x Combine like terms: 40x + -40x = 0 -25x = 0 Divide each side by '-25'. x = 0 Simplifying x = 0
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