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Simplifying 7(x + 6) = 7 + -2(x + 1) Reorder the terms: 7(6 + x) = 7 + -2(x + 1) (6 * 7 + x * 7) = 7 + -2(x + 1) (42 + 7x) = 7 + -2(x + 1) Reorder the terms: 42 + 7x = 7 + -2(1 + x) 42 + 7x = 7 + (1 * -2 + x * -2) 42 + 7x = 7 + (-2 + -2x) Combine like terms: 7 + -2 = 5 42 + 7x = 5 + -2x Solving 42 + 7x = 5 + -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 = 5 + -2x + 2x Combine like terms: 7x + 2x = 9x 42 + 9x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 42 + 9x = 5 + 0 42 + 9x = 5 Add '-42' to each side of the equation. 42 + -42 + 9x = 5 + -42 Combine like terms: 42 + -42 = 0 0 + 9x = 5 + -42 9x = 5 + -42 Combine like terms: 5 + -42 = -37 9x = -37 Divide each side by '9'. x = -4.111111111 Simplifying x = -4.111111111
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