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Simplifying -2x + 41 = 7x + -40 Reorder the terms: 41 + -2x = 7x + -40 Reorder the terms: 41 + -2x = -40 + 7x Solving 41 + -2x = -40 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 41 + -2x + -7x = -40 + 7x + -7x Combine like terms: -2x + -7x = -9x 41 + -9x = -40 + 7x + -7x Combine like terms: 7x + -7x = 0 41 + -9x = -40 + 0 41 + -9x = -40 Add '-41' to each side of the equation. 41 + -41 + -9x = -40 + -41 Combine like terms: 41 + -41 = 0 0 + -9x = -40 + -41 -9x = -40 + -41 Combine like terms: -40 + -41 = -81 -9x = -81 Divide each side by '-9'. x = 9 Simplifying x = 9
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