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Simplifying 6(x + -27) = 54 + 3x Reorder the terms: 6(-27 + x) = 54 + 3x (-27 * 6 + x * 6) = 54 + 3x (-162 + 6x) = 54 + 3x Solving -162 + 6x = 54 + 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. -162 + 6x + -3x = 54 + 3x + -3x Combine like terms: 6x + -3x = 3x -162 + 3x = 54 + 3x + -3x Combine like terms: 3x + -3x = 0 -162 + 3x = 54 + 0 -162 + 3x = 54 Add '162' to each side of the equation. -162 + 162 + 3x = 54 + 162 Combine like terms: -162 + 162 = 0 0 + 3x = 54 + 162 3x = 54 + 162 Combine like terms: 54 + 162 = 216 3x = 216 Divide each side by '3'. x = 72 Simplifying x = 72
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