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Simplifying 5 + 7x = -2x + 41 Reorder the terms: 5 + 7x = 41 + -2x Solving 5 + 7x = 41 + -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. 5 + 7x + 2x = 41 + -2x + 2x Combine like terms: 7x + 2x = 9x 5 + 9x = 41 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 9x = 41 + 0 5 + 9x = 41 Add '-5' to each side of the equation. 5 + -5 + 9x = 41 + -5 Combine like terms: 5 + -5 = 0 0 + 9x = 41 + -5 9x = 41 + -5 Combine like terms: 41 + -5 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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