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Simplifying 7x + 1 + -2(x + 1) = 9 + 2 Reorder the terms: 7x + 1 + -2(1 + x) = 9 + 2 7x + 1 + (1 * -2 + x * -2) = 9 + 2 7x + 1 + (-2 + -2x) = 9 + 2 Reorder the terms: 1 + -2 + 7x + -2x = 9 + 2 Combine like terms: 1 + -2 = -1 -1 + 7x + -2x = 9 + 2 Combine like terms: 7x + -2x = 5x -1 + 5x = 9 + 2 Combine like terms: 9 + 2 = 11 -1 + 5x = 11 Solving -1 + 5x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 5x = 11 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 11 + 1 5x = 11 + 1 Combine like terms: 11 + 1 = 12 5x = 12 Divide each side by '5'. x = 2.4 Simplifying x = 2.4
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