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Simplifying x + (x + -1) + (x + -2) + (x + -3) + 1 = 100 Reorder the terms: x + (-1 + x) + (x + -2) + (x + -3) + 1 = 100 Remove parenthesis around (-1 + x) x + -1 + x + (x + -2) + (x + -3) + 1 = 100 Reorder the terms: x + -1 + x + (-2 + x) + (x + -3) + 1 = 100 Remove parenthesis around (-2 + x) x + -1 + x + -2 + x + (x + -3) + 1 = 100 Reorder the terms: x + -1 + x + -2 + x + (-3 + x) + 1 = 100 Remove parenthesis around (-3 + x) x + -1 + x + -2 + x + -3 + x + 1 = 100 Reorder the terms: -1 + -2 + -3 + 1 + x + x + x + x = 100 Combine like terms: -1 + -2 = -3 -3 + -3 + 1 + x + x + x + x = 100 Combine like terms: -3 + -3 = -6 -6 + 1 + x + x + x + x = 100 Combine like terms: -6 + 1 = -5 -5 + x + x + x + x = 100 Combine like terms: x + x = 2x -5 + 2x + x + x = 100 Combine like terms: 2x + x = 3x -5 + 3x + x = 100 Combine like terms: 3x + x = 4x -5 + 4x = 100 Solving -5 + 4x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 4x = 100 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 100 + 5 4x = 100 + 5 Combine like terms: 100 + 5 = 105 4x = 105 Divide each side by '4'. x = 26.25 Simplifying x = 26.25
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