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Simplifying -5 + 17x + 9 = 2x + 21x + 14 Reorder the terms: -5 + 9 + 17x = 2x + 21x + 14 Combine like terms: -5 + 9 = 4 4 + 17x = 2x + 21x + 14 Reorder the terms: 4 + 17x = 14 + 2x + 21x Combine like terms: 2x + 21x = 23x 4 + 17x = 14 + 23x Solving 4 + 17x = 14 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. 4 + 17x + -23x = 14 + 23x + -23x Combine like terms: 17x + -23x = -6x 4 + -6x = 14 + 23x + -23x Combine like terms: 23x + -23x = 0 4 + -6x = 14 + 0 4 + -6x = 14 Add '-4' to each side of the equation. 4 + -4 + -6x = 14 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = 14 + -4 -6x = 14 + -4 Combine like terms: 14 + -4 = 10 -6x = 10 Divide each side by '-6'. x = -1.666666667 Simplifying x = -1.666666667
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