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Simplifying 4(4x + 5) = x + 10x + 25 Reorder the terms: 4(5 + 4x) = x + 10x + 25 (5 * 4 + 4x * 4) = x + 10x + 25 (20 + 16x) = x + 10x + 25 Reorder the terms: 20 + 16x = 25 + x + 10x Combine like terms: x + 10x = 11x 20 + 16x = 25 + 11x Solving 20 + 16x = 25 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 20 + 16x + -11x = 25 + 11x + -11x Combine like terms: 16x + -11x = 5x 20 + 5x = 25 + 11x + -11x Combine like terms: 11x + -11x = 0 20 + 5x = 25 + 0 20 + 5x = 25 Add '-20' to each side of the equation. 20 + -20 + 5x = 25 + -20 Combine like terms: 20 + -20 = 0 0 + 5x = 25 + -20 5x = 25 + -20 Combine like terms: 25 + -20 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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