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Simplifying 3x + -41 = 5x + 7 + -1x Reorder the terms: -41 + 3x = 5x + 7 + -1x Reorder the terms: -41 + 3x = 7 + 5x + -1x Combine like terms: 5x + -1x = 4x -41 + 3x = 7 + 4x Solving -41 + 3x = 7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -41 + 3x + -4x = 7 + 4x + -4x Combine like terms: 3x + -4x = -1x -41 + -1x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 -41 + -1x = 7 + 0 -41 + -1x = 7 Add '41' to each side of the equation. -41 + 41 + -1x = 7 + 41 Combine like terms: -41 + 41 = 0 0 + -1x = 7 + 41 -1x = 7 + 41 Combine like terms: 7 + 41 = 48 -1x = 48 Divide each side by '-1'. x = -48 Simplifying x = -48
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