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