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Simplifying 9x + -41 = 2x + 78 Reorder the terms: -41 + 9x = 2x + 78 Reorder the terms: -41 + 9x = 78 + 2x Solving -41 + 9x = 78 + 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. -41 + 9x + -2x = 78 + 2x + -2x Combine like terms: 9x + -2x = 7x -41 + 7x = 78 + 2x + -2x Combine like terms: 2x + -2x = 0 -41 + 7x = 78 + 0 -41 + 7x = 78 Add '41' to each side of the equation. -41 + 41 + 7x = 78 + 41 Combine like terms: -41 + 41 = 0 0 + 7x = 78 + 41 7x = 78 + 41 Combine like terms: 78 + 41 = 119 7x = 119 Divide each side by '7'. x = 17 Simplifying x = 17
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