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Simplifying 3(2x + -9) = x + 43 Reorder the terms: 3(-9 + 2x) = x + 43 (-9 * 3 + 2x * 3) = x + 43 (-27 + 6x) = x + 43 Reorder the terms: -27 + 6x = 43 + x Solving -27 + 6x = 43 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -27 + 6x + -1x = 43 + x + -1x Combine like terms: 6x + -1x = 5x -27 + 5x = 43 + x + -1x Combine like terms: x + -1x = 0 -27 + 5x = 43 + 0 -27 + 5x = 43 Add '27' to each side of the equation. -27 + 27 + 5x = 43 + 27 Combine like terms: -27 + 27 = 0 0 + 5x = 43 + 27 5x = 43 + 27 Combine like terms: 43 + 27 = 70 5x = 70 Divide each side by '5'. x = 14 Simplifying x = 14
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