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Simplifying 3x + 41 + -5x = 1 + -7x + 5 Reorder the terms: 41 + 3x + -5x = 1 + -7x + 5 Combine like terms: 3x + -5x = -2x 41 + -2x = 1 + -7x + 5 Reorder the terms: 41 + -2x = 1 + 5 + -7x Combine like terms: 1 + 5 = 6 41 + -2x = 6 + -7x Solving 41 + -2x = 6 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 41 + -2x + 7x = 6 + -7x + 7x Combine like terms: -2x + 7x = 5x 41 + 5x = 6 + -7x + 7x Combine like terms: -7x + 7x = 0 41 + 5x = 6 + 0 41 + 5x = 6 Add '-41' to each side of the equation. 41 + -41 + 5x = 6 + -41 Combine like terms: 41 + -41 = 0 0 + 5x = 6 + -41 5x = 6 + -41 Combine like terms: 6 + -41 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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