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Simplifying 12x + 16x + -14x = 14x + 13x + 52 Combine like terms: 12x + 16x = 28x 28x + -14x = 14x + 13x + 52 Combine like terms: 28x + -14x = 14x 14x = 14x + 13x + 52 Reorder the terms: 14x = 52 + 14x + 13x Combine like terms: 14x + 13x = 27x 14x = 52 + 27x Solving 14x = 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. 14x + -27x = 52 + 27x + -27x Combine like terms: 14x + -27x = -13x -13x = 52 + 27x + -27x Combine like terms: 27x + -27x = 0 -13x = 52 + 0 -13x = 52 Divide each side by '-13'. x = -4 Simplifying x = -4
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