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Simplifying -8x + 27 = 3(x + -2) Reorder the terms: 27 + -8x = 3(x + -2) Reorder the terms: 27 + -8x = 3(-2 + x) 27 + -8x = (-2 * 3 + x * 3) 27 + -8x = (-6 + 3x) Solving 27 + -8x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 27 + -8x + -3x = -6 + 3x + -3x Combine like terms: -8x + -3x = -11x 27 + -11x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 27 + -11x = -6 + 0 27 + -11x = -6 Add '-27' to each side of the equation. 27 + -27 + -11x = -6 + -27 Combine like terms: 27 + -27 = 0 0 + -11x = -6 + -27 -11x = -6 + -27 Combine like terms: -6 + -27 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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