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Simplifying 5(5x + 1) = 6(4x + 5) Reorder the terms: 5(1 + 5x) = 6(4x + 5) (1 * 5 + 5x * 5) = 6(4x + 5) (5 + 25x) = 6(4x + 5) Reorder the terms: 5 + 25x = 6(5 + 4x) 5 + 25x = (5 * 6 + 4x * 6) 5 + 25x = (30 + 24x) Solving 5 + 25x = 30 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 5 + 25x + -24x = 30 + 24x + -24x Combine like terms: 25x + -24x = 1x 5 + 1x = 30 + 24x + -24x Combine like terms: 24x + -24x = 0 5 + 1x = 30 + 0 5 + 1x = 30 Add '-5' to each side of the equation. 5 + -5 + 1x = 30 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 30 + -5 1x = 30 + -5 Combine like terms: 30 + -5 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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