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Simplifying 582 = 6(9x + -11) Reorder the terms: 582 = 6(-11 + 9x) 582 = (-11 * 6 + 9x * 6) 582 = (-66 + 54x) Solving 582 = -66 + 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. 582 + -54x = -66 + 54x + -54x Combine like terms: 54x + -54x = 0 582 + -54x = -66 + 0 582 + -54x = -66 Add '-582' to each side of the equation. 582 + -582 + -54x = -66 + -582 Combine like terms: 582 + -582 = 0 0 + -54x = -66 + -582 -54x = -66 + -582 Combine like terms: -66 + -582 = -648 -54x = -648 Divide each side by '-54'. x = 12 Simplifying x = 12
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