7(4+9x-13)+3-2+1=7x+8-18(6+6+6)

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Solution for 7(4+9x-13)+3-2+1=7x+8-18(6+6+6) equation:


Simplifying
7(4 + 9x + -13) + 3 + -2 + 1 = 7x + 8 + -18(6 + 6 + 6)

Reorder the terms:
7(4 + -13 + 9x) + 3 + -2 + 1 = 7x + 8 + -18(6 + 6 + 6)

Combine like terms: 4 + -13 = -9
7(-9 + 9x) + 3 + -2 + 1 = 7x + 8 + -18(6 + 6 + 6)
(-9 * 7 + 9x * 7) + 3 + -2 + 1 = 7x + 8 + -18(6 + 6 + 6)
(-63 + 63x) + 3 + -2 + 1 = 7x + 8 + -18(6 + 6 + 6)

Reorder the terms:
-63 + 3 + -2 + 1 + 63x = 7x + 8 + -18(6 + 6 + 6)

Combine like terms: -63 + 3 = -60
-60 + -2 + 1 + 63x = 7x + 8 + -18(6 + 6 + 6)

Combine like terms: -60 + -2 = -62
-62 + 1 + 63x = 7x + 8 + -18(6 + 6 + 6)

Combine like terms: -62 + 1 = -61
-61 + 63x = 7x + 8 + -18(6 + 6 + 6)

Combine like terms: 6 + 6 = 12
-61 + 63x = 7x + 8 + -18(12 + 6)

Combine like terms: 12 + 6 = 18
-61 + 63x = 7x + 8 + -18(18)

Multiply -18 * 18
-61 + 63x = 7x + 8 + -324

Reorder the terms:
-61 + 63x = 8 + -324 + 7x

Combine like terms: 8 + -324 = -316
-61 + 63x = -316 + 7x

Solving
-61 + 63x = -316 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-61 + 63x + -7x = -316 + 7x + -7x

Combine like terms: 63x + -7x = 56x
-61 + 56x = -316 + 7x + -7x

Combine like terms: 7x + -7x = 0
-61 + 56x = -316 + 0
-61 + 56x = -316

Add '61' to each side of the equation.
-61 + 61 + 56x = -316 + 61

Combine like terms: -61 + 61 = 0
0 + 56x = -316 + 61
56x = -316 + 61

Combine like terms: -316 + 61 = -255
56x = -255

Divide each side by '56'.
x = -4.553571429

Simplifying
x = -4.553571429

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