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Simplifying 4x + 39 + -5x = 3 + -9x + 4 Reorder the terms: 39 + 4x + -5x = 3 + -9x + 4 Combine like terms: 4x + -5x = -1x 39 + -1x = 3 + -9x + 4 Reorder the terms: 39 + -1x = 3 + 4 + -9x Combine like terms: 3 + 4 = 7 39 + -1x = 7 + -9x Solving 39 + -1x = 7 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 39 + -1x + 9x = 7 + -9x + 9x Combine like terms: -1x + 9x = 8x 39 + 8x = 7 + -9x + 9x Combine like terms: -9x + 9x = 0 39 + 8x = 7 + 0 39 + 8x = 7 Add '-39' to each side of the equation. 39 + -39 + 8x = 7 + -39 Combine like terms: 39 + -39 = 0 0 + 8x = 7 + -39 8x = 7 + -39 Combine like terms: 7 + -39 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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