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Simplifying 15x + -9x + 33 = 5x + -17 Reorder the terms: 33 + 15x + -9x = 5x + -17 Combine like terms: 15x + -9x = 6x 33 + 6x = 5x + -17 Reorder the terms: 33 + 6x = -17 + 5x Solving 33 + 6x = -17 + 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 + 6x + -5x = -17 + 5x + -5x Combine like terms: 6x + -5x = 1x 33 + 1x = -17 + 5x + -5x Combine like terms: 5x + -5x = 0 33 + 1x = -17 + 0 33 + 1x = -17 Add '-33' to each side of the equation. 33 + -33 + 1x = -17 + -33 Combine like terms: 33 + -33 = 0 0 + 1x = -17 + -33 1x = -17 + -33 Combine like terms: -17 + -33 = -50 1x = -50 Divide each side by '1'. x = -50 Simplifying x = -50
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