x=7-.75(8.4-.4x)

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Solution for x=7-.75(8.4-.4x) equation: 


Simplifying
x = 7 + -0.75(8.4 + -0.4x)
x = 7 + (8.4 * -0.75 + -0.4x * -0.75)
x = 7 + (-6.3 + 0.3x)

Combine like terms: 7 + -6.3 = 0.7
x = 0.7 + 0.3x

Solving
x = 0.7 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
x + -0.3x = 0.7 + 0.3x + -0.3x

Combine like terms: x + -0.3x = 0.7x
0.7x = 0.7 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
0.7x = 0.7 + 0.0
0.7x = 0.7

Divide each side by '0.7'.
x = 1

Simplifying
x = 1

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