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Simplifying x + (x + 2) + -1(x + 3) = 41 Reorder the terms: x + (2 + x) + -1(x + 3) = 41 Remove parenthesis around (2 + x) x + 2 + x + -1(x + 3) = 41 Reorder the terms: x + 2 + x + -1(3 + x) = 41 x + 2 + x + (3 * -1 + x * -1) = 41 x + 2 + x + (-3 + -1x) = 41 Reorder the terms: 2 + -3 + x + x + -1x = 41 Combine like terms: 2 + -3 = -1 -1 + x + x + -1x = 41 Combine like terms: x + x = 2x -1 + 2x + -1x = 41 Combine like terms: 2x + -1x = 1x -1 + 1x = 41 Solving -1 + 1x = 41 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 + 1x = 41 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 41 + 1 1x = 41 + 1 Combine like terms: 41 + 1 = 42 1x = 42 Divide each side by '1'. x = 42 Simplifying x = 42
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