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Simplifying 2(5x + 1) = 6(x + 8) + 1 Reorder the terms: 2(1 + 5x) = 6(x + 8) + 1 (1 * 2 + 5x * 2) = 6(x + 8) + 1 (2 + 10x) = 6(x + 8) + 1 Reorder the terms: 2 + 10x = 6(8 + x) + 1 2 + 10x = (8 * 6 + x * 6) + 1 2 + 10x = (48 + 6x) + 1 Reorder the terms: 2 + 10x = 48 + 1 + 6x Combine like terms: 48 + 1 = 49 2 + 10x = 49 + 6x Solving 2 + 10x = 49 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + 10x + -6x = 49 + 6x + -6x Combine like terms: 10x + -6x = 4x 2 + 4x = 49 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + 4x = 49 + 0 2 + 4x = 49 Add '-2' to each side of the equation. 2 + -2 + 4x = 49 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 49 + -2 4x = 49 + -2 Combine like terms: 49 + -2 = 47 4x = 47 Divide each side by '4'. x = 11.75 Simplifying x = 11.75
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