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Simplifying 5x + 41 + -6x = 2 + -7x + 3 Reorder the terms: 41 + 5x + -6x = 2 + -7x + 3 Combine like terms: 5x + -6x = -1x 41 + -1x = 2 + -7x + 3 Reorder the terms: 41 + -1x = 2 + 3 + -7x Combine like terms: 2 + 3 = 5 41 + -1x = 5 + -7x Solving 41 + -1x = 5 + -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 + -1x + 7x = 5 + -7x + 7x Combine like terms: -1x + 7x = 6x 41 + 6x = 5 + -7x + 7x Combine like terms: -7x + 7x = 0 41 + 6x = 5 + 0 41 + 6x = 5 Add '-41' to each side of the equation. 41 + -41 + 6x = 5 + -41 Combine like terms: 41 + -41 = 0 0 + 6x = 5 + -41 6x = 5 + -41 Combine like terms: 5 + -41 = -36 6x = -36 Divide each side by '6'. x = -6 Simplifying x = -6
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