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Simplifying 5x + 41 = -2x + 48 Reorder the terms: 41 + 5x = -2x + 48 Reorder the terms: 41 + 5x = 48 + -2x Solving 41 + 5x = 48 + -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 + 5x + 2x = 48 + -2x + 2x Combine like terms: 5x + 2x = 7x 41 + 7x = 48 + -2x + 2x Combine like terms: -2x + 2x = 0 41 + 7x = 48 + 0 41 + 7x = 48 Add '-41' to each side of the equation. 41 + -41 + 7x = 48 + -41 Combine like terms: 41 + -41 = 0 0 + 7x = 48 + -41 7x = 48 + -41 Combine like terms: 48 + -41 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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