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Simplifying 5x + 35 = -3x + 24 Reorder the terms: 35 + 5x = -3x + 24 Reorder the terms: 35 + 5x = 24 + -3x Solving 35 + 5x = 24 + -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. 35 + 5x + 3x = 24 + -3x + 3x Combine like terms: 5x + 3x = 8x 35 + 8x = 24 + -3x + 3x Combine like terms: -3x + 3x = 0 35 + 8x = 24 + 0 35 + 8x = 24 Add '-35' to each side of the equation. 35 + -35 + 8x = 24 + -35 Combine like terms: 35 + -35 = 0 0 + 8x = 24 + -35 8x = 24 + -35 Combine like terms: 24 + -35 = -11 8x = -11 Divide each side by '8'. x = -1.375 Simplifying x = -1.375
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