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Simplifying 8x + 13 = 7x + 15 Reorder the terms: 13 + 8x = 7x + 15 Reorder the terms: 13 + 8x = 15 + 7x Solving 13 + 8x = 15 + 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. 13 + 8x + -7x = 15 + 7x + -7x Combine like terms: 8x + -7x = 1x 13 + 1x = 15 + 7x + -7x Combine like terms: 7x + -7x = 0 13 + 1x = 15 + 0 13 + 1x = 15 Add '-13' to each side of the equation. 13 + -13 + 1x = 15 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 15 + -13 1x = 15 + -13 Combine like terms: 15 + -13 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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