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Simplifying -2x + 8 = -5x + 41 Reorder the terms: 8 + -2x = -5x + 41 Reorder the terms: 8 + -2x = 41 + -5x Solving 8 + -2x = 41 + -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. 8 + -2x + 5x = 41 + -5x + 5x Combine like terms: -2x + 5x = 3x 8 + 3x = 41 + -5x + 5x Combine like terms: -5x + 5x = 0 8 + 3x = 41 + 0 8 + 3x = 41 Add '-8' to each side of the equation. 8 + -8 + 3x = 41 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 41 + -8 3x = 41 + -8 Combine like terms: 41 + -8 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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