1+2+3+4+5+6+7+8+9+10+x=100

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Solution for 1+2+3+4+5+6+7+8+9+10+x=100 equation:


Simplifying
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + x = 100

Combine like terms: 1 + 2 = 3
3 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + x = 100

Combine like terms: 3 + 3 = 6
6 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + x = 100

Combine like terms: 6 + 4 = 10
10 + 5 + 6 + 7 + 8 + 9 + 10 + x = 100

Combine like terms: 10 + 5 = 15
15 + 6 + 7 + 8 + 9 + 10 + x = 100

Combine like terms: 15 + 6 = 21
21 + 7 + 8 + 9 + 10 + x = 100

Combine like terms: 21 + 7 = 28
28 + 8 + 9 + 10 + x = 100

Combine like terms: 28 + 8 = 36
36 + 9 + 10 + x = 100

Combine like terms: 36 + 9 = 45
45 + 10 + x = 100

Combine like terms: 45 + 10 = 55
55 + x = 100

Solving
55 + x = 100

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-55' to each side of the equation.
55 + -55 + x = 100 + -55

Combine like terms: 55 + -55 = 0
0 + x = 100 + -55
x = 100 + -55

Combine like terms: 100 + -55 = 45
x = 45

Simplifying
x = 45

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