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Simplifying -31 + 5x = 33 + -3x Solving -31 + 5x = 33 + -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. -31 + 5x + 3x = 33 + -3x + 3x Combine like terms: 5x + 3x = 8x -31 + 8x = 33 + -3x + 3x Combine like terms: -3x + 3x = 0 -31 + 8x = 33 + 0 -31 + 8x = 33 Add '31' to each side of the equation. -31 + 31 + 8x = 33 + 31 Combine like terms: -31 + 31 = 0 0 + 8x = 33 + 31 8x = 33 + 31 Combine like terms: 33 + 31 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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