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Simplifying -11(6x + -22) = 6x + 40 Reorder the terms: -11(-22 + 6x) = 6x + 40 (-22 * -11 + 6x * -11) = 6x + 40 (242 + -66x) = 6x + 40 Reorder the terms: 242 + -66x = 40 + 6x Solving 242 + -66x = 40 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 242 + -66x + -6x = 40 + 6x + -6x Combine like terms: -66x + -6x = -72x 242 + -72x = 40 + 6x + -6x Combine like terms: 6x + -6x = 0 242 + -72x = 40 + 0 242 + -72x = 40 Add '-242' to each side of the equation. 242 + -242 + -72x = 40 + -242 Combine like terms: 242 + -242 = 0 0 + -72x = 40 + -242 -72x = 40 + -242 Combine like terms: 40 + -242 = -202 -72x = -202 Divide each side by '-72'. x = 2.805555556 Simplifying x = 2.805555556
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