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Simplifying 7x + 1 = 6(x + 1) Reorder the terms: 1 + 7x = 6(x + 1) Reorder the terms: 1 + 7x = 6(1 + x) 1 + 7x = (1 * 6 + x * 6) 1 + 7x = (6 + 6x) Solving 1 + 7x = 6 + 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 + 7x + -6x = 6 + 6x + -6x Combine like terms: 7x + -6x = 1x 1 + 1x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + 1x = 6 + 0 1 + 1x = 6 Add '-1' to each side of the equation. 1 + -1 + 1x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 6 + -1 1x = 6 + -1 Combine like terms: 6 + -1 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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