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Simplifying 6(x + -9) = -12x + 38 Reorder the terms: 6(-9 + x) = -12x + 38 (-9 * 6 + x * 6) = -12x + 38 (-54 + 6x) = -12x + 38 Reorder the terms: -54 + 6x = 38 + -12x Solving -54 + 6x = 38 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -54 + 6x + 12x = 38 + -12x + 12x Combine like terms: 6x + 12x = 18x -54 + 18x = 38 + -12x + 12x Combine like terms: -12x + 12x = 0 -54 + 18x = 38 + 0 -54 + 18x = 38 Add '54' to each side of the equation. -54 + 54 + 18x = 38 + 54 Combine like terms: -54 + 54 = 0 0 + 18x = 38 + 54 18x = 38 + 54 Combine like terms: 38 + 54 = 92 18x = 92 Divide each side by '18'. x = 5.111111111 Simplifying x = 5.111111111
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