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Simplifying 5(5x + 1) = 8(3x + 1) Reorder the terms: 5(1 + 5x) = 8(3x + 1) (1 * 5 + 5x * 5) = 8(3x + 1) (5 + 25x) = 8(3x + 1) Reorder the terms: 5 + 25x = 8(1 + 3x) 5 + 25x = (1 * 8 + 3x * 8) 5 + 25x = (8 + 24x) Solving 5 + 25x = 8 + 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 = 8 + 24x + -24x Combine like terms: 25x + -24x = 1x 5 + 1x = 8 + 24x + -24x Combine like terms: 24x + -24x = 0 5 + 1x = 8 + 0 5 + 1x = 8 Add '-5' to each side of the equation. 5 + -5 + 1x = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 8 + -5 1x = 8 + -5 Combine like terms: 8 + -5 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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