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Simplifying -12(3x + -22) = 8x + 54 Reorder the terms: -12(-22 + 3x) = 8x + 54 (-22 * -12 + 3x * -12) = 8x + 54 (264 + -36x) = 8x + 54 Reorder the terms: 264 + -36x = 54 + 8x Solving 264 + -36x = 54 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 264 + -36x + -8x = 54 + 8x + -8x Combine like terms: -36x + -8x = -44x 264 + -44x = 54 + 8x + -8x Combine like terms: 8x + -8x = 0 264 + -44x = 54 + 0 264 + -44x = 54 Add '-264' to each side of the equation. 264 + -264 + -44x = 54 + -264 Combine like terms: 264 + -264 = 0 0 + -44x = 54 + -264 -44x = 54 + -264 Combine like terms: 54 + -264 = -210 -44x = -210 Divide each side by '-44'. x = 4.772727273 Simplifying x = 4.772727273
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