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Simplifying 2x + -4x + 41 = 4x + 35 Reorder the terms: 41 + 2x + -4x = 4x + 35 Combine like terms: 2x + -4x = -2x 41 + -2x = 4x + 35 Reorder the terms: 41 + -2x = 35 + 4x Solving 41 + -2x = 35 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 41 + -2x + -4x = 35 + 4x + -4x Combine like terms: -2x + -4x = -6x 41 + -6x = 35 + 4x + -4x Combine like terms: 4x + -4x = 0 41 + -6x = 35 + 0 41 + -6x = 35 Add '-41' to each side of the equation. 41 + -41 + -6x = 35 + -41 Combine like terms: 41 + -41 = 0 0 + -6x = 35 + -41 -6x = 35 + -41 Combine like terms: 35 + -41 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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