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Simplifying -3x + 41 = 5x + 33 Reorder the terms: 41 + -3x = 5x + 33 Reorder the terms: 41 + -3x = 33 + 5x Solving 41 + -3x = 33 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 41 + -3x + -5x = 33 + 5x + -5x Combine like terms: -3x + -5x = -8x 41 + -8x = 33 + 5x + -5x Combine like terms: 5x + -5x = 0 41 + -8x = 33 + 0 41 + -8x = 33 Add '-41' to each side of the equation. 41 + -41 + -8x = 33 + -41 Combine like terms: 41 + -41 = 0 0 + -8x = 33 + -41 -8x = 33 + -41 Combine like terms: 33 + -41 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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