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Simplifying 29 + 9x + -8 = 10x + -6 Reorder the terms: 29 + -8 + 9x = 10x + -6 Combine like terms: 29 + -8 = 21 21 + 9x = 10x + -6 Reorder the terms: 21 + 9x = -6 + 10x Solving 21 + 9x = -6 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 21 + 9x + -10x = -6 + 10x + -10x Combine like terms: 9x + -10x = -1x 21 + -1x = -6 + 10x + -10x Combine like terms: 10x + -10x = 0 21 + -1x = -6 + 0 21 + -1x = -6 Add '-21' to each side of the equation. 21 + -21 + -1x = -6 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = -6 + -21 -1x = -6 + -21 Combine like terms: -6 + -21 = -27 -1x = -27 Divide each side by '-1'. x = 27 Simplifying x = 27
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