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Simplifying -8 + 6(9x + -4) = 4 + -9(6x + -4) Reorder the terms: -8 + 6(-4 + 9x) = 4 + -9(6x + -4) -8 + (-4 * 6 + 9x * 6) = 4 + -9(6x + -4) -8 + (-24 + 54x) = 4 + -9(6x + -4) Combine like terms: -8 + -24 = -32 -32 + 54x = 4 + -9(6x + -4) Reorder the terms: -32 + 54x = 4 + -9(-4 + 6x) -32 + 54x = 4 + (-4 * -9 + 6x * -9) -32 + 54x = 4 + (36 + -54x) Combine like terms: 4 + 36 = 40 -32 + 54x = 40 + -54x Solving -32 + 54x = 40 + -54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54x' to each side of the equation. -32 + 54x + 54x = 40 + -54x + 54x Combine like terms: 54x + 54x = 108x -32 + 108x = 40 + -54x + 54x Combine like terms: -54x + 54x = 0 -32 + 108x = 40 + 0 -32 + 108x = 40 Add '32' to each side of the equation. -32 + 32 + 108x = 40 + 32 Combine like terms: -32 + 32 = 0 0 + 108x = 40 + 32 108x = 40 + 32 Combine like terms: 40 + 32 = 72 108x = 72 Divide each side by '108'. x = 0.6666666667 Simplifying x = 0.6666666667
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