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Simplifying 2(8x + 1) = 5(3x + 1) Reorder the terms: 2(1 + 8x) = 5(3x + 1) (1 * 2 + 8x * 2) = 5(3x + 1) (2 + 16x) = 5(3x + 1) Reorder the terms: 2 + 16x = 5(1 + 3x) 2 + 16x = (1 * 5 + 3x * 5) 2 + 16x = (5 + 15x) Solving 2 + 16x = 5 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 2 + 16x + -15x = 5 + 15x + -15x Combine like terms: 16x + -15x = 1x 2 + 1x = 5 + 15x + -15x Combine like terms: 15x + -15x = 0 2 + 1x = 5 + 0 2 + 1x = 5 Add '-2' to each side of the equation. 2 + -2 + 1x = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 5 + -2 1x = 5 + -2 Combine like terms: 5 + -2 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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