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Simplifying 2(x + 1) + 3(x + -1) = 49 Reorder the terms: 2(1 + x) + 3(x + -1) = 49 (1 * 2 + x * 2) + 3(x + -1) = 49 (2 + 2x) + 3(x + -1) = 49 Reorder the terms: 2 + 2x + 3(-1 + x) = 49 2 + 2x + (-1 * 3 + x * 3) = 49 2 + 2x + (-3 + 3x) = 49 Reorder the terms: 2 + -3 + 2x + 3x = 49 Combine like terms: 2 + -3 = -1 -1 + 2x + 3x = 49 Combine like terms: 2x + 3x = 5x -1 + 5x = 49 Solving -1 + 5x = 49 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 = 49 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 49 + 1 5x = 49 + 1 Combine like terms: 49 + 1 = 50 5x = 50 Divide each side by '5'. x = 10 Simplifying x = 10
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