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Simplifying 5x + 83 = -3x + 75 Reorder the terms: 83 + 5x = -3x + 75 Reorder the terms: 83 + 5x = 75 + -3x Solving 83 + 5x = 75 + -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. 83 + 5x + 3x = 75 + -3x + 3x Combine like terms: 5x + 3x = 8x 83 + 8x = 75 + -3x + 3x Combine like terms: -3x + 3x = 0 83 + 8x = 75 + 0 83 + 8x = 75 Add '-83' to each side of the equation. 83 + -83 + 8x = 75 + -83 Combine like terms: 83 + -83 = 0 0 + 8x = 75 + -83 8x = 75 + -83 Combine like terms: 75 + -83 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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