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Simplifying 5x + -9 = 32 + -3x + 8 Reorder the terms: -9 + 5x = 32 + -3x + 8 Reorder the terms: -9 + 5x = 32 + 8 + -3x Combine like terms: 32 + 8 = 40 -9 + 5x = 40 + -3x Solving -9 + 5x = 40 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -9 + 5x + 3x = 40 + -3x + 3x Combine like terms: 5x + 3x = 8x -9 + 8x = 40 + -3x + 3x Combine like terms: -3x + 3x = 0 -9 + 8x = 40 + 0 -9 + 8x = 40 Add '9' to each side of the equation. -9 + 9 + 8x = 40 + 9 Combine like terms: -9 + 9 = 0 0 + 8x = 40 + 9 8x = 40 + 9 Combine like terms: 40 + 9 = 49 8x = 49 Divide each side by '8'. x = 6.125 Simplifying x = 6.125
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