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Simplifying 0 = 12 + -9(x + -5) + -1(3x + 4) Reorder the terms: 0 = 12 + -9(-5 + x) + -1(3x + 4) 0 = 12 + (-5 * -9 + x * -9) + -1(3x + 4) 0 = 12 + (45 + -9x) + -1(3x + 4) Reorder the terms: 0 = 12 + 45 + -9x + -1(4 + 3x) 0 = 12 + 45 + -9x + (4 * -1 + 3x * -1) 0 = 12 + 45 + -9x + (-4 + -3x) Reorder the terms: 0 = 12 + 45 + -4 + -9x + -3x Combine like terms: 12 + 45 = 57 0 = 57 + -4 + -9x + -3x Combine like terms: 57 + -4 = 53 0 = 53 + -9x + -3x Combine like terms: -9x + -3x = -12x 0 = 53 + -12x Solving 0 = 53 + -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. 0 + 12x = 53 + -12x + 12x Remove the zero: 12x = 53 + -12x + 12x Combine like terms: -12x + 12x = 0 12x = 53 + 0 12x = 53 Divide each side by '12'. x = 4.416666667 Simplifying x = 4.416666667
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