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Simplifying 5(16x + 1) = 5(8x + 2) Reorder the terms: 5(1 + 16x) = 5(8x + 2) (1 * 5 + 16x * 5) = 5(8x + 2) (5 + 80x) = 5(8x + 2) Reorder the terms: 5 + 80x = 5(2 + 8x) 5 + 80x = (2 * 5 + 8x * 5) 5 + 80x = (10 + 40x) Solving 5 + 80x = 10 + 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. 5 + 80x + -40x = 10 + 40x + -40x Combine like terms: 80x + -40x = 40x 5 + 40x = 10 + 40x + -40x Combine like terms: 40x + -40x = 0 5 + 40x = 10 + 0 5 + 40x = 10 Add '-5' to each side of the equation. 5 + -5 + 40x = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 40x = 10 + -5 40x = 10 + -5 Combine like terms: 10 + -5 = 5 40x = 5 Divide each side by '40'. x = 0.125 Simplifying x = 0.125
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