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Simplifying 2(3x + -11) = 2(2x + 12) Reorder the terms: 2(-11 + 3x) = 2(2x + 12) (-11 * 2 + 3x * 2) = 2(2x + 12) (-22 + 6x) = 2(2x + 12) Reorder the terms: -22 + 6x = 2(12 + 2x) -22 + 6x = (12 * 2 + 2x * 2) -22 + 6x = (24 + 4x) Solving -22 + 6x = 24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -22 + 6x + -4x = 24 + 4x + -4x Combine like terms: 6x + -4x = 2x -22 + 2x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 -22 + 2x = 24 + 0 -22 + 2x = 24 Add '22' to each side of the equation. -22 + 22 + 2x = 24 + 22 Combine like terms: -22 + 22 = 0 0 + 2x = 24 + 22 2x = 24 + 22 Combine like terms: 24 + 22 = 46 2x = 46 Divide each side by '2'. x = 23 Simplifying x = 23
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