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Simplifying 3x + -2 = 8x + -33 Reorder the terms: -2 + 3x = 8x + -33 Reorder the terms: -2 + 3x = -33 + 8x Solving -2 + 3x = -33 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -2 + 3x + -8x = -33 + 8x + -8x Combine like terms: 3x + -8x = -5x -2 + -5x = -33 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + -5x = -33 + 0 -2 + -5x = -33 Add '2' to each side of the equation. -2 + 2 + -5x = -33 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = -33 + 2 -5x = -33 + 2 Combine like terms: -33 + 2 = -31 -5x = -31 Divide each side by '-5'. x = 6.2 Simplifying x = 6.2
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