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Simplifying 7 + -1(x + 1) = 9 + -1(2x + 1) Reorder the terms: 7 + -1(1 + x) = 9 + -1(2x + 1) 7 + (1 * -1 + x * -1) = 9 + -1(2x + 1) 7 + (-1 + -1x) = 9 + -1(2x + 1) Combine like terms: 7 + -1 = 6 6 + -1x = 9 + -1(2x + 1) Reorder the terms: 6 + -1x = 9 + -1(1 + 2x) 6 + -1x = 9 + (1 * -1 + 2x * -1) 6 + -1x = 9 + (-1 + -2x) Combine like terms: 9 + -1 = 8 6 + -1x = 8 + -2x Solving 6 + -1x = 8 + -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. 6 + -1x + 2x = 8 + -2x + 2x Combine like terms: -1x + 2x = 1x 6 + 1x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 1x = 8 + 0 6 + 1x = 8 Add '-6' to each side of the equation. 6 + -6 + 1x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 8 + -6 1x = 8 + -6 Combine like terms: 8 + -6 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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