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Simplifying 7x + 13 = 5x + 12 Reorder the terms: 13 + 7x = 5x + 12 Reorder the terms: 13 + 7x = 12 + 5x Solving 13 + 7x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 13 + 7x + -5x = 12 + 5x + -5x Combine like terms: 7x + -5x = 2x 13 + 2x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 13 + 2x = 12 + 0 13 + 2x = 12 Add '-13' to each side of the equation. 13 + -13 + 2x = 12 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = 12 + -13 2x = 12 + -13 Combine like terms: 12 + -13 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5
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