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Simplifying 7(x + 6) = 2(x + 1) Reorder the terms: 7(6 + x) = 2(x + 1) (6 * 7 + x * 7) = 2(x + 1) (42 + 7x) = 2(x + 1) Reorder the terms: 42 + 7x = 2(1 + x) 42 + 7x = (1 * 2 + x * 2) 42 + 7x = (2 + 2x) Solving 42 + 7x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 42 + 7x + -2x = 2 + 2x + -2x Combine like terms: 7x + -2x = 5x 42 + 5x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 42 + 5x = 2 + 0 42 + 5x = 2 Add '-42' to each side of the equation. 42 + -42 + 5x = 2 + -42 Combine like terms: 42 + -42 = 0 0 + 5x = 2 + -42 5x = 2 + -42 Combine like terms: 2 + -42 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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