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Simplifying 4x + 26 = -3x + 61 Reorder the terms: 26 + 4x = -3x + 61 Reorder the terms: 26 + 4x = 61 + -3x Solving 26 + 4x = 61 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 26 + 4x + 3x = 61 + -3x + 3x Combine like terms: 4x + 3x = 7x 26 + 7x = 61 + -3x + 3x Combine like terms: -3x + 3x = 0 26 + 7x = 61 + 0 26 + 7x = 61 Add '-26' to each side of the equation. 26 + -26 + 7x = 61 + -26 Combine like terms: 26 + -26 = 0 0 + 7x = 61 + -26 7x = 61 + -26 Combine like terms: 61 + -26 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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