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Simplifying 3(2x + -9) + -5x = 11 + -4x + -2 Reorder the terms: 3(-9 + 2x) + -5x = 11 + -4x + -2 (-9 * 3 + 2x * 3) + -5x = 11 + -4x + -2 (-27 + 6x) + -5x = 11 + -4x + -2 Combine like terms: 6x + -5x = 1x -27 + 1x = 11 + -4x + -2 Reorder the terms: -27 + 1x = 11 + -2 + -4x Combine like terms: 11 + -2 = 9 -27 + 1x = 9 + -4x Solving -27 + 1x = 9 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -27 + 1x + 4x = 9 + -4x + 4x Combine like terms: 1x + 4x = 5x -27 + 5x = 9 + -4x + 4x Combine like terms: -4x + 4x = 0 -27 + 5x = 9 + 0 -27 + 5x = 9 Add '27' to each side of the equation. -27 + 27 + 5x = 9 + 27 Combine like terms: -27 + 27 = 0 0 + 5x = 9 + 27 5x = 9 + 27 Combine like terms: 9 + 27 = 36 5x = 36 Divide each side by '5'. x = 7.2 Simplifying x = 7.2
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