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Simplifying (9x + -4) + -1(6x + 5) = 27 Reorder the terms: (-4 + 9x) + -1(6x + 5) = 27 Remove parenthesis around (-4 + 9x) -4 + 9x + -1(6x + 5) = 27 Reorder the terms: -4 + 9x + -1(5 + 6x) = 27 -4 + 9x + (5 * -1 + 6x * -1) = 27 -4 + 9x + (-5 + -6x) = 27 Reorder the terms: -4 + -5 + 9x + -6x = 27 Combine like terms: -4 + -5 = -9 -9 + 9x + -6x = 27 Combine like terms: 9x + -6x = 3x -9 + 3x = 27 Solving -9 + 3x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 3x = 27 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = 27 + 9 3x = 27 + 9 Combine like terms: 27 + 9 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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