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Simplifying x + (x + -1) + (x + -2) + (x + -3) = 100 Reorder the terms: x + (-1 + x) + (x + -2) + (x + -3) = 100 Remove parenthesis around (-1 + x) x + -1 + x + (x + -2) + (x + -3) = 100 Reorder the terms: x + -1 + x + (-2 + x) + (x + -3) = 100 Remove parenthesis around (-2 + x) x + -1 + x + -2 + x + (x + -3) = 100 Reorder the terms: x + -1 + x + -2 + x + (-3 + x) = 100 Remove parenthesis around (-3 + x) x + -1 + x + -2 + x + -3 + x = 100 Reorder the terms: -1 + -2 + -3 + x + x + x + x = 100 Combine like terms: -1 + -2 = -3 -3 + -3 + x + x + x + x = 100 Combine like terms: -3 + -3 = -6 -6 + x + x + x + x = 100 Combine like terms: x + x = 2x -6 + 2x + x + x = 100 Combine like terms: 2x + x = 3x -6 + 3x + x = 100 Combine like terms: 3x + x = 4x -6 + 4x = 100 Solving -6 + 4x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 4x = 100 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 100 + 6 4x = 100 + 6 Combine like terms: 100 + 6 = 106 4x = 106 Divide each side by '4'. x = 26.5 Simplifying x = 26.5
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