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Simplifying 4x + 41 = 9x + -4 Reorder the terms: 41 + 4x = 9x + -4 Reorder the terms: 41 + 4x = -4 + 9x Solving 41 + 4x = -4 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 41 + 4x + -9x = -4 + 9x + -9x Combine like terms: 4x + -9x = -5x 41 + -5x = -4 + 9x + -9x Combine like terms: 9x + -9x = 0 41 + -5x = -4 + 0 41 + -5x = -4 Add '-41' to each side of the equation. 41 + -41 + -5x = -4 + -41 Combine like terms: 41 + -41 = 0 0 + -5x = -4 + -41 -5x = -4 + -41 Combine like terms: -4 + -41 = -45 -5x = -45 Divide each side by '-5'. x = 9 Simplifying x = 9
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