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Simplifying 3x + 41 + -5x = 2 + -9x + 4 Reorder the terms: 41 + 3x + -5x = 2 + -9x + 4 Combine like terms: 3x + -5x = -2x 41 + -2x = 2 + -9x + 4 Reorder the terms: 41 + -2x = 2 + 4 + -9x Combine like terms: 2 + 4 = 6 41 + -2x = 6 + -9x Solving 41 + -2x = 6 + -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 + -2x + 9x = 6 + -9x + 9x Combine like terms: -2x + 9x = 7x 41 + 7x = 6 + -9x + 9x Combine like terms: -9x + 9x = 0 41 + 7x = 6 + 0 41 + 7x = 6 Add '-41' to each side of the equation. 41 + -41 + 7x = 6 + -41 Combine like terms: 41 + -41 = 0 0 + 7x = 6 + -41 7x = 6 + -41 Combine like terms: 6 + -41 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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