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Simplifying 13x + -5 = 7x + 37 Reorder the terms: -5 + 13x = 7x + 37 Reorder the terms: -5 + 13x = 37 + 7x Solving -5 + 13x = 37 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -5 + 13x + -7x = 37 + 7x + -7x Combine like terms: 13x + -7x = 6x -5 + 6x = 37 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + 6x = 37 + 0 -5 + 6x = 37 Add '5' to each side of the equation. -5 + 5 + 6x = 37 + 5 Combine like terms: -5 + 5 = 0 0 + 6x = 37 + 5 6x = 37 + 5 Combine like terms: 37 + 5 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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