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Simplifying -6x + -41 = -10x + 31 Reorder the terms: -41 + -6x = -10x + 31 Reorder the terms: -41 + -6x = 31 + -10x Solving -41 + -6x = 31 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -41 + -6x + 10x = 31 + -10x + 10x Combine like terms: -6x + 10x = 4x -41 + 4x = 31 + -10x + 10x Combine like terms: -10x + 10x = 0 -41 + 4x = 31 + 0 -41 + 4x = 31 Add '41' to each side of the equation. -41 + 41 + 4x = 31 + 41 Combine like terms: -41 + 41 = 0 0 + 4x = 31 + 41 4x = 31 + 41 Combine like terms: 31 + 41 = 72 4x = 72 Divide each side by '4'. x = 18 Simplifying x = 18
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