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Simplifying 9x + 4(-9 + -3x) = 42 9x + (-9 * 4 + -3x * 4) = 42 9x + (-36 + -12x) = 42 Reorder the terms: -36 + 9x + -12x = 42 Combine like terms: 9x + -12x = -3x -36 + -3x = 42 Solving -36 + -3x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -3x = 42 + 36 Combine like terms: -36 + 36 = 0 0 + -3x = 42 + 36 -3x = 42 + 36 Combine like terms: 42 + 36 = 78 -3x = 78 Divide each side by '-3'. x = -26 Simplifying x = -26
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