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Simplifying 9x + -5 + 4x = 7x + 43 + -2x Reorder the terms: -5 + 9x + 4x = 7x + 43 + -2x Combine like terms: 9x + 4x = 13x -5 + 13x = 7x + 43 + -2x Reorder the terms: -5 + 13x = 43 + 7x + -2x Combine like terms: 7x + -2x = 5x -5 + 13x = 43 + 5x Solving -5 + 13x = 43 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + 13x + -5x = 43 + 5x + -5x Combine like terms: 13x + -5x = 8x -5 + 8x = 43 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + 8x = 43 + 0 -5 + 8x = 43 Add '5' to each side of the equation. -5 + 5 + 8x = 43 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = 43 + 5 8x = 43 + 5 Combine like terms: 43 + 5 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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