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Simplifying 8x + 33 = 2x + 45 + 3x + 15 Reorder the terms: 33 + 8x = 2x + 45 + 3x + 15 Reorder the terms: 33 + 8x = 45 + 15 + 2x + 3x Combine like terms: 45 + 15 = 60 33 + 8x = 60 + 2x + 3x Combine like terms: 2x + 3x = 5x 33 + 8x = 60 + 5x Solving 33 + 8x = 60 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 33 + 8x + -5x = 60 + 5x + -5x Combine like terms: 8x + -5x = 3x 33 + 3x = 60 + 5x + -5x Combine like terms: 5x + -5x = 0 33 + 3x = 60 + 0 33 + 3x = 60 Add '-33' to each side of the equation. 33 + -33 + 3x = 60 + -33 Combine like terms: 33 + -33 = 0 0 + 3x = 60 + -33 3x = 60 + -33 Combine like terms: 60 + -33 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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