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Simplifying 4x + -9x + 17 = 3x + 33 Reorder the terms: 17 + 4x + -9x = 3x + 33 Combine like terms: 4x + -9x = -5x 17 + -5x = 3x + 33 Reorder the terms: 17 + -5x = 33 + 3x Solving 17 + -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. 17 + -5x + -3x = 33 + 3x + -3x Combine like terms: -5x + -3x = -8x 17 + -8x = 33 + 3x + -3x Combine like terms: 3x + -3x = 0 17 + -8x = 33 + 0 17 + -8x = 33 Add '-17' to each side of the equation. 17 + -17 + -8x = 33 + -17 Combine like terms: 17 + -17 = 0 0 + -8x = 33 + -17 -8x = 33 + -17 Combine like terms: 33 + -17 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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