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Simplifying 15x + -27 = 14x + 10 Reorder the terms: -27 + 15x = 14x + 10 Reorder the terms: -27 + 15x = 10 + 14x Solving -27 + 15x = 10 + 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. -27 + 15x + -14x = 10 + 14x + -14x Combine like terms: 15x + -14x = 1x -27 + 1x = 10 + 14x + -14x Combine like terms: 14x + -14x = 0 -27 + 1x = 10 + 0 -27 + 1x = 10 Add '27' to each side of the equation. -27 + 27 + 1x = 10 + 27 Combine like terms: -27 + 27 = 0 0 + 1x = 10 + 27 1x = 10 + 27 Combine like terms: 10 + 27 = 37 1x = 37 Divide each side by '1'. x = 37 Simplifying x = 37
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