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Simplifying 9(x + -3) + 3x = 7x + 43 Reorder the terms: 9(-3 + x) + 3x = 7x + 43 (-3 * 9 + x * 9) + 3x = 7x + 43 (-27 + 9x) + 3x = 7x + 43 Combine like terms: 9x + 3x = 12x -27 + 12x = 7x + 43 Reorder the terms: -27 + 12x = 43 + 7x Solving -27 + 12x = 43 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -27 + 12x + -7x = 43 + 7x + -7x Combine like terms: 12x + -7x = 5x -27 + 5x = 43 + 7x + -7x Combine like terms: 7x + -7x = 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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