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Simplifying 12x + 16x + -15x = 14x + 13x + 52 Combine like terms: 12x + 16x = 28x 28x + -15x = 14x + 13x + 52 Combine like terms: 28x + -15x = 13x 13x = 14x + 13x + 52 Reorder the terms: 13x = 52 + 14x + 13x Combine like terms: 14x + 13x = 27x 13x = 52 + 27x Solving 13x = 52 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 13x + -27x = 52 + 27x + -27x Combine like terms: 13x + -27x = -14x -14x = 52 + 27x + -27x Combine like terms: 27x + -27x = 0 -14x = 52 + 0 -14x = 52 Divide each side by '-14'. x = -3.714285714 Simplifying x = -3.714285714
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