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Simplifying -8x + 21 = -6x + 34 + 5 Reorder the terms: 21 + -8x = -6x + 34 + 5 Reorder the terms: 21 + -8x = 34 + 5 + -6x Combine like terms: 34 + 5 = 39 21 + -8x = 39 + -6x Solving 21 + -8x = 39 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 21 + -8x + 6x = 39 + -6x + 6x Combine like terms: -8x + 6x = -2x 21 + -2x = 39 + -6x + 6x Combine like terms: -6x + 6x = 0 21 + -2x = 39 + 0 21 + -2x = 39 Add '-21' to each side of the equation. 21 + -21 + -2x = 39 + -21 Combine like terms: 21 + -21 = 0 0 + -2x = 39 + -21 -2x = 39 + -21 Combine like terms: 39 + -21 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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