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Simplifying 8x + 1 = 6(x + 7) Reorder the terms: 1 + 8x = 6(x + 7) Reorder the terms: 1 + 8x = 6(7 + x) 1 + 8x = (7 * 6 + x * 6) 1 + 8x = (42 + 6x) Solving 1 + 8x = 42 + 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. 1 + 8x + -6x = 42 + 6x + -6x Combine like terms: 8x + -6x = 2x 1 + 2x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + 2x = 42 + 0 1 + 2x = 42 Add '-1' to each side of the equation. 1 + -1 + 2x = 42 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 42 + -1 2x = 42 + -1 Combine like terms: 42 + -1 = 41 2x = 41 Divide each side by '2'. x = 20.5 Simplifying x = 20.5
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