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Simplifying 21 + -9x + 17 = 14x + 3 + -17x Reorder the terms: 21 + 17 + -9x = 14x + 3 + -17x Combine like terms: 21 + 17 = 38 38 + -9x = 14x + 3 + -17x Reorder the terms: 38 + -9x = 3 + 14x + -17x Combine like terms: 14x + -17x = -3x 38 + -9x = 3 + -3x Solving 38 + -9x = 3 + -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. 38 + -9x + 3x = 3 + -3x + 3x Combine like terms: -9x + 3x = -6x 38 + -6x = 3 + -3x + 3x Combine like terms: -3x + 3x = 0 38 + -6x = 3 + 0 38 + -6x = 3 Add '-38' to each side of the equation. 38 + -38 + -6x = 3 + -38 Combine like terms: 38 + -38 = 0 0 + -6x = 3 + -38 -6x = 3 + -38 Combine like terms: 3 + -38 = -35 -6x = -35 Divide each side by '-6'. x = 5.833333333 Simplifying x = 5.833333333
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