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Simplifying -8x + 27 = -9x + -15 + 15x Reorder the terms: 27 + -8x = -9x + -15 + 15x Reorder the terms: 27 + -8x = -15 + -9x + 15x Combine like terms: -9x + 15x = 6x 27 + -8x = -15 + 6x Solving 27 + -8x = -15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 27 + -8x + -6x = -15 + 6x + -6x Combine like terms: -8x + -6x = -14x 27 + -14x = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 27 + -14x = -15 + 0 27 + -14x = -15 Add '-27' to each side of the equation. 27 + -27 + -14x = -15 + -27 Combine like terms: 27 + -27 = 0 0 + -14x = -15 + -27 -14x = -15 + -27 Combine like terms: -15 + -27 = -42 -14x = -42 Divide each side by '-14'. x = 3 Simplifying x = 3
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