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Simplifying 10x + 1 + 2x = 8 + 6x + 29 Reorder the terms: 1 + 10x + 2x = 8 + 6x + 29 Combine like terms: 10x + 2x = 12x 1 + 12x = 8 + 6x + 29 Reorder the terms: 1 + 12x = 8 + 29 + 6x Combine like terms: 8 + 29 = 37 1 + 12x = 37 + 6x Solving 1 + 12x = 37 + 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. 1 + 12x + -6x = 37 + 6x + -6x Combine like terms: 12x + -6x = 6x 1 + 6x = 37 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + 6x = 37 + 0 1 + 6x = 37 Add '-1' to each side of the equation. 1 + -1 + 6x = 37 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 37 + -1 6x = 37 + -1 Combine like terms: 37 + -1 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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