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Simplifying 5x + 13 + 2x + 12 = 2x + 15 Reorder the terms: 13 + 12 + 5x + 2x = 2x + 15 Combine like terms: 13 + 12 = 25 25 + 5x + 2x = 2x + 15 Combine like terms: 5x + 2x = 7x 25 + 7x = 2x + 15 Reorder the terms: 25 + 7x = 15 + 2x Solving 25 + 7x = 15 + 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. 25 + 7x + -2x = 15 + 2x + -2x Combine like terms: 7x + -2x = 5x 25 + 5x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 25 + 5x = 15 + 0 25 + 5x = 15 Add '-25' to each side of the equation. 25 + -25 + 5x = 15 + -25 Combine like terms: 25 + -25 = 0 0 + 5x = 15 + -25 5x = 15 + -25 Combine like terms: 15 + -25 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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