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Simplifying 13x + 5 = -2x + 50 Reorder the terms: 5 + 13x = -2x + 50 Reorder the terms: 5 + 13x = 50 + -2x Solving 5 + 13x = 50 + -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 + 13x + 2x = 50 + -2x + 2x Combine like terms: 13x + 2x = 15x 5 + 15x = 50 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 15x = 50 + 0 5 + 15x = 50 Add '-5' to each side of the equation. 5 + -5 + 15x = 50 + -5 Combine like terms: 5 + -5 = 0 0 + 15x = 50 + -5 15x = 50 + -5 Combine like terms: 50 + -5 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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