0.21(x+45)+0.27(x+75)=-27.9

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Solution for 0.21(x+45)+0.27(x+75)=-27.9 equation: 


Simplifying
0.21(x + 45) + 0.27(x + 75) = -27.9

Reorder the terms:
0.21(45 + x) + 0.27(x + 75) = -27.9
(45 * 0.21 + x * 0.21) + 0.27(x + 75) = -27.9
(9.45 + 0.21x) + 0.27(x + 75) = -27.9

Reorder the terms:
9.45 + 0.21x + 0.27(75 + x) = -27.9
9.45 + 0.21x + (75 * 0.27 + x * 0.27) = -27.9
9.45 + 0.21x + (20.25 + 0.27x) = -27.9

Reorder the terms:
9.45 + 20.25 + 0.21x + 0.27x = -27.9

Combine like terms: 9.45 + 20.25 = 29.7
29.7 + 0.21x + 0.27x = -27.9

Combine like terms: 0.21x + 0.27x = 0.48x
29.7 + 0.48x = -27.9

Solving
29.7 + 0.48x = -27.9

Solving for variable 'x'.

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

Add '-29.7' to each side of the equation.
29.7 + -29.7 + 0.48x = -27.9 + -29.7

Combine like terms: 29.7 + -29.7 = 0.0
0.0 + 0.48x = -27.9 + -29.7
0.48x = -27.9 + -29.7

Combine like terms: -27.9 + -29.7 = -57.6
0.48x = -57.6

Divide each side by '0.48'.
x = -120

Simplifying
x = -120

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