(1.25X-.5X+35)*24+(1.25X-.5X+35)*30=-270

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Solution for (1.25X-.5X+35)*24+(1.25X-.5X+35)*30=-270 equation: 


Simplifying
(1.25X + -0.5X + 35) * 24 + (1.25X + -0.5X + 35) * 30 = -270

Reorder the terms:
(35 + 1.25X + -0.5X) * 24 + (1.25X + -0.5X + 35) * 30 = -270

Combine like terms: 1.25X + -0.5X = 0.75X
(35 + 0.75X) * 24 + (1.25X + -0.5X + 35) * 30 = -270

Reorder the terms for easier multiplication:
24(35 + 0.75X) + (1.25X + -0.5X + 35) * 30 = -270
(35 * 24 + 0.75X * 24) + (1.25X + -0.5X + 35) * 30 = -270
(840 + 18X) + (1.25X + -0.5X + 35) * 30 = -270

Reorder the terms:
840 + 18X + (35 + 1.25X + -0.5X) * 30 = -270

Combine like terms: 1.25X + -0.5X = 0.75X
840 + 18X + (35 + 0.75X) * 30 = -270

Reorder the terms for easier multiplication:
840 + 18X + 30(35 + 0.75X) = -270
840 + 18X + (35 * 30 + 0.75X * 30) = -270
840 + 18X + (1050 + 22.5X) = -270

Reorder the terms:
840 + 1050 + 18X + 22.5X = -270

Combine like terms: 840 + 1050 = 1890
1890 + 18X + 22.5X = -270

Combine like terms: 18X + 22.5X = 40.5X
1890 + 40.5X = -270

Solving
1890 + 40.5X = -270

Solving for variable 'X'.

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

Add '-1890' to each side of the equation.
1890 + -1890 + 40.5X = -270 + -1890

Combine like terms: 1890 + -1890 = 0
0 + 40.5X = -270 + -1890
40.5X = -270 + -1890

Combine like terms: -270 + -1890 = -2160
40.5X = -2160

Divide each side by '40.5'.
X = -53.33333333

Simplifying
X = -53.33333333

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