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Simplifying 28x + 13 = 14x + 52 Reorder the terms: 13 + 28x = 14x + 52 Reorder the terms: 13 + 28x = 52 + 14x Solving 13 + 28x = 52 + 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. 13 + 28x + -14x = 52 + 14x + -14x Combine like terms: 28x + -14x = 14x 13 + 14x = 52 + 14x + -14x Combine like terms: 14x + -14x = 0 13 + 14x = 52 + 0 13 + 14x = 52 Add '-13' to each side of the equation. 13 + -13 + 14x = 52 + -13 Combine like terms: 13 + -13 = 0 0 + 14x = 52 + -13 14x = 52 + -13 Combine like terms: 52 + -13 = 39 14x = 39 Divide each side by '14'. x = 2.785714286 Simplifying x = 2.785714286
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