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Simplifying -3(4x + -9) + (24x + 4) = 43 Reorder the terms: -3(-9 + 4x) + (24x + 4) = 43 (-9 * -3 + 4x * -3) + (24x + 4) = 43 (27 + -12x) + (24x + 4) = 43 Reorder the terms: 27 + -12x + (4 + 24x) = 43 Remove parenthesis around (4 + 24x) 27 + -12x + 4 + 24x = 43 Reorder the terms: 27 + 4 + -12x + 24x = 43 Combine like terms: 27 + 4 = 31 31 + -12x + 24x = 43 Combine like terms: -12x + 24x = 12x 31 + 12x = 43 Solving 31 + 12x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 12x = 43 + -31 Combine like terms: 31 + -31 = 0 0 + 12x = 43 + -31 12x = 43 + -31 Combine like terms: 43 + -31 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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