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Simplifying -2x + 4 = -41 + 7x Reorder the terms: 4 + -2x = -41 + 7x Solving 4 + -2x = -41 + 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. 4 + -2x + -7x = -41 + 7x + -7x Combine like terms: -2x + -7x = -9x 4 + -9x = -41 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -9x = -41 + 0 4 + -9x = -41 Add '-4' to each side of the equation. 4 + -4 + -9x = -41 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = -41 + -4 -9x = -41 + -4 Combine like terms: -41 + -4 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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