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Simplifying 4x + 17 + 3x + -12 = 61 Reorder the terms: 17 + -12 + 4x + 3x = 61 Combine like terms: 17 + -12 = 5 5 + 4x + 3x = 61 Combine like terms: 4x + 3x = 7x 5 + 7x = 61 Solving 5 + 7x = 61 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7x = 61 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 61 + -5 7x = 61 + -5 Combine like terms: 61 + -5 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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