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Simplifying 6x + 29 = 3x + 65 Reorder the terms: 29 + 6x = 3x + 65 Reorder the terms: 29 + 6x = 65 + 3x Solving 29 + 6x = 65 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 29 + 6x + -3x = 65 + 3x + -3x Combine like terms: 6x + -3x = 3x 29 + 3x = 65 + 3x + -3x Combine like terms: 3x + -3x = 0 29 + 3x = 65 + 0 29 + 3x = 65 Add '-29' to each side of the equation. 29 + -29 + 3x = 65 + -29 Combine like terms: 29 + -29 = 0 0 + 3x = 65 + -29 3x = 65 + -29 Combine like terms: 65 + -29 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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