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Simplifying 6x + -9 + 3x = 4x + 43 + -8x Reorder the terms: -9 + 6x + 3x = 4x + 43 + -8x Combine like terms: 6x + 3x = 9x -9 + 9x = 4x + 43 + -8x Reorder the terms: -9 + 9x = 43 + 4x + -8x Combine like terms: 4x + -8x = -4x -9 + 9x = 43 + -4x Solving -9 + 9x = 43 + -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. -9 + 9x + 4x = 43 + -4x + 4x Combine like terms: 9x + 4x = 13x -9 + 13x = 43 + -4x + 4x Combine like terms: -4x + 4x = 0 -9 + 13x = 43 + 0 -9 + 13x = 43 Add '9' to each side of the equation. -9 + 9 + 13x = 43 + 9 Combine like terms: -9 + 9 = 0 0 + 13x = 43 + 9 13x = 43 + 9 Combine like terms: 43 + 9 = 52 13x = 52 Divide each side by '13'. x = 4 Simplifying x = 4
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