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Simplifying 7(x + 1) = 6(x + 2) Reorder the terms: 7(1 + x) = 6(x + 2) (1 * 7 + x * 7) = 6(x + 2) (7 + 7x) = 6(x + 2) Reorder the terms: 7 + 7x = 6(2 + x) 7 + 7x = (2 * 6 + x * 6) 7 + 7x = (12 + 6x) Solving 7 + 7x = 12 + 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. 7 + 7x + -6x = 12 + 6x + -6x Combine like terms: 7x + -6x = 1x 7 + 1x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + 1x = 12 + 0 7 + 1x = 12 Add '-7' to each side of the equation. 7 + -7 + 1x = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 12 + -7 1x = 12 + -7 Combine like terms: 12 + -7 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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