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Simplifying 3(4x + -9) + -2(x + 8) = 0 Reorder the terms: 3(-9 + 4x) + -2(x + 8) = 0 (-9 * 3 + 4x * 3) + -2(x + 8) = 0 (-27 + 12x) + -2(x + 8) = 0 Reorder the terms: -27 + 12x + -2(8 + x) = 0 -27 + 12x + (8 * -2 + x * -2) = 0 -27 + 12x + (-16 + -2x) = 0 Reorder the terms: -27 + -16 + 12x + -2x = 0 Combine like terms: -27 + -16 = -43 -43 + 12x + -2x = 0 Combine like terms: 12x + -2x = 10x -43 + 10x = 0 Solving -43 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + 10x = 0 + 43 Combine like terms: -43 + 43 = 0 0 + 10x = 0 + 43 10x = 0 + 43 Combine like terms: 0 + 43 = 43 10x = 43 Divide each side by '10'. x = 4.3 Simplifying x = 4.3
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