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Simplifying 15x + 5 = 14x + 13 Reorder the terms: 5 + 15x = 14x + 13 Reorder the terms: 5 + 15x = 13 + 14x Solving 5 + 15x = 13 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 5 + 15x + -14x = 13 + 14x + -14x Combine like terms: 15x + -14x = 1x 5 + 1x = 13 + 14x + -14x Combine like terms: 14x + -14x = 0 5 + 1x = 13 + 0 5 + 1x = 13 Add '-5' to each side of the equation. 5 + -5 + 1x = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 13 + -5 1x = 13 + -5 Combine like terms: 13 + -5 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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