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Simplifying 4x + 21 + -17x = 5 + -7x + -13 Reorder the terms: 21 + 4x + -17x = 5 + -7x + -13 Combine like terms: 4x + -17x = -13x 21 + -13x = 5 + -7x + -13 Reorder the terms: 21 + -13x = 5 + -13 + -7x Combine like terms: 5 + -13 = -8 21 + -13x = -8 + -7x Solving 21 + -13x = -8 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 21 + -13x + 7x = -8 + -7x + 7x Combine like terms: -13x + 7x = -6x 21 + -6x = -8 + -7x + 7x Combine like terms: -7x + 7x = 0 21 + -6x = -8 + 0 21 + -6x = -8 Add '-21' to each side of the equation. 21 + -21 + -6x = -8 + -21 Combine like terms: 21 + -21 = 0 0 + -6x = -8 + -21 -6x = -8 + -21 Combine like terms: -8 + -21 = -29 -6x = -29 Divide each side by '-6'. x = 4.833333333 Simplifying x = 4.833333333
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