4.57=0.44x+0.07(x+7)

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Solution for 4.57=0.44x+0.07(x+7) equation:


Simplifying
4.57 = 0.44x + 0.07(x + 7)

Reorder the terms:
4.57 = 0.44x + 0.07(7 + x)
4.57 = 0.44x + (7 * 0.07 + x * 0.07)
4.57 = 0.44x + (0.49 + 0.07x)

Reorder the terms:
4.57 = 0.49 + 0.44x + 0.07x

Combine like terms: 0.44x + 0.07x = 0.51x
4.57 = 0.49 + 0.51x

Solving
4.57 = 0.49 + 0.51x

Solving for variable 'x'.

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

Add '-0.51x' to each side of the equation.
4.57 + -0.51x = 0.49 + 0.51x + -0.51x

Combine like terms: 0.51x + -0.51x = 0.00
4.57 + -0.51x = 0.49 + 0.00
4.57 + -0.51x = 0.49

Add '-4.57' to each side of the equation.
4.57 + -4.57 + -0.51x = 0.49 + -4.57

Combine like terms: 4.57 + -4.57 = 0.00
0.00 + -0.51x = 0.49 + -4.57
-0.51x = 0.49 + -4.57

Combine like terms: 0.49 + -4.57 = -4.08
-0.51x = -4.08

Divide each side by '-0.51'.
x = 8

Simplifying
x = 8

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