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Simplifying -5x + 8 = 2x + -41 Reorder the terms: 8 + -5x = 2x + -41 Reorder the terms: 8 + -5x = -41 + 2x Solving 8 + -5x = -41 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + -5x + -2x = -41 + 2x + -2x Combine like terms: -5x + -2x = -7x 8 + -7x = -41 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -7x = -41 + 0 8 + -7x = -41 Add '-8' to each side of the equation. 8 + -8 + -7x = -41 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = -41 + -8 -7x = -41 + -8 Combine like terms: -41 + -8 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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