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Simplifying 6x + 9 = 2x + 41 Reorder the terms: 9 + 6x = 2x + 41 Reorder the terms: 9 + 6x = 41 + 2x Solving 9 + 6x = 41 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 9 + 6x + -2x = 41 + 2x + -2x Combine like terms: 6x + -2x = 4x 9 + 4x = 41 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + 4x = 41 + 0 9 + 4x = 41 Add '-9' to each side of the equation. 9 + -9 + 4x = 41 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 41 + -9 4x = 41 + -9 Combine like terms: 41 + -9 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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