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Simplifying 2x + -6 = 7x + -41 Reorder the terms: -6 + 2x = 7x + -41 Reorder the terms: -6 + 2x = -41 + 7x Solving -6 + 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. -6 + 2x + -7x = -41 + 7x + -7x Combine like terms: 2x + -7x = -5x -6 + -5x = -41 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -5x = -41 + 0 -6 + -5x = -41 Add '6' to each side of the equation. -6 + 6 + -5x = -41 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = -41 + 6 -5x = -41 + 6 Combine like terms: -41 + 6 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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