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Simplifying x + 1(x + 1) + (x + 2) = 378 Reorder the terms: x + 1(1 + x) + (x + 2) = 378 x + (1 * 1 + x * 1) + (x + 2) = 378 x + (1 + 1x) + (x + 2) = 378 Reorder the terms: x + 1 + 1x + (2 + x) = 378 Remove parenthesis around (2 + x) x + 1 + 1x + 2 + x = 378 Reorder the terms: 1 + 2 + x + 1x + x = 378 Combine like terms: 1 + 2 = 3 3 + x + 1x + x = 378 Combine like terms: x + 1x = 2x 3 + 2x + x = 378 Combine like terms: 2x + x = 3x 3 + 3x = 378 Solving 3 + 3x = 378 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 3x = 378 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 378 + -3 3x = 378 + -3 Combine like terms: 378 + -3 = 375 3x = 375 Divide each side by '3'. x = 125 Simplifying x = 125
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