f(x)=1.5x+3(x-2)+4.5(x+7)

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Solution for f(x)=1.5x+3(x-2)+4.5(x+7) equation:


Simplifying
f(x) = 1.5x + 3(x + -2) + 4.5(x + 7)

Multiply f * x
fx = 1.5x + 3(x + -2) + 4.5(x + 7)

Reorder the terms:
fx = 1.5x + 3(-2 + x) + 4.5(x + 7)
fx = 1.5x + (-2 * 3 + x * 3) + 4.5(x + 7)
fx = 1.5x + (-6 + 3x) + 4.5(x + 7)

Reorder the terms:
fx = 1.5x + -6 + 3x + 4.5(7 + x)
fx = 1.5x + -6 + 3x + (7 * 4.5 + x * 4.5)
fx = 1.5x + -6 + 3x + (31.5 + 4.5x)

Reorder the terms:
fx = -6 + 31.5 + 1.5x + 3x + 4.5x

Combine like terms: -6 + 31.5 = 25.5
fx = 25.5 + 1.5x + 3x + 4.5x

Combine like terms: 1.5x + 3x = 4.5x
fx = 25.5 + 4.5x + 4.5x

Combine like terms: 4.5x + 4.5x = 9x
fx = 25.5 + 9x

Solving
fx = 25.5 + 9x

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 25.5x-1 + 9

Simplifying
f = 25.5x-1 + 9

Reorder the terms:
f = 9 + 25.5x-1

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