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Simplifying 10x + 29 = 6x + 77 Reorder the terms: 29 + 10x = 6x + 77 Reorder the terms: 29 + 10x = 77 + 6x Solving 29 + 10x = 77 + 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. 29 + 10x + -6x = 77 + 6x + -6x Combine like terms: 10x + -6x = 4x 29 + 4x = 77 + 6x + -6x Combine like terms: 6x + -6x = 0 29 + 4x = 77 + 0 29 + 4x = 77 Add '-29' to each side of the equation. 29 + -29 + 4x = 77 + -29 Combine like terms: 29 + -29 = 0 0 + 4x = 77 + -29 4x = 77 + -29 Combine like terms: 77 + -29 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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