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Simplifying -12x + 9 = 43 + -24x + 1 Reorder the terms: 9 + -12x = 43 + -24x + 1 Reorder the terms: 9 + -12x = 43 + 1 + -24x Combine like terms: 43 + 1 = 44 9 + -12x = 44 + -24x Solving 9 + -12x = 44 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 9 + -12x + 24x = 44 + -24x + 24x Combine like terms: -12x + 24x = 12x 9 + 12x = 44 + -24x + 24x Combine like terms: -24x + 24x = 0 9 + 12x = 44 + 0 9 + 12x = 44 Add '-9' to each side of the equation. 9 + -9 + 12x = 44 + -9 Combine like terms: 9 + -9 = 0 0 + 12x = 44 + -9 12x = 44 + -9 Combine like terms: 44 + -9 = 35 12x = 35 Divide each side by '12'. x = 2.916666667 Simplifying x = 2.916666667
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