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Simplifying -6(2x + -9) = 2(x + -8) + -11 Reorder the terms: -6(-9 + 2x) = 2(x + -8) + -11 (-9 * -6 + 2x * -6) = 2(x + -8) + -11 (54 + -12x) = 2(x + -8) + -11 Reorder the terms: 54 + -12x = 2(-8 + x) + -11 54 + -12x = (-8 * 2 + x * 2) + -11 54 + -12x = (-16 + 2x) + -11 Reorder the terms: 54 + -12x = -16 + -11 + 2x Combine like terms: -16 + -11 = -27 54 + -12x = -27 + 2x Solving 54 + -12x = -27 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 54 + -12x + -2x = -27 + 2x + -2x Combine like terms: -12x + -2x = -14x 54 + -14x = -27 + 2x + -2x Combine like terms: 2x + -2x = 0 54 + -14x = -27 + 0 54 + -14x = -27 Add '-54' to each side of the equation. 54 + -54 + -14x = -27 + -54 Combine like terms: 54 + -54 = 0 0 + -14x = -27 + -54 -14x = -27 + -54 Combine like terms: -27 + -54 = -81 -14x = -81 Divide each side by '-14'. x = 5.785714286 Simplifying x = 5.785714286
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