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Simplifying 12(2x + 11) = 2(2x + 16) Reorder the terms: 12(11 + 2x) = 2(2x + 16) (11 * 12 + 2x * 12) = 2(2x + 16) (132 + 24x) = 2(2x + 16) Reorder the terms: 132 + 24x = 2(16 + 2x) 132 + 24x = (16 * 2 + 2x * 2) 132 + 24x = (32 + 4x) Solving 132 + 24x = 32 + 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. 132 + 24x + -4x = 32 + 4x + -4x Combine like terms: 24x + -4x = 20x 132 + 20x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 132 + 20x = 32 + 0 132 + 20x = 32 Add '-132' to each side of the equation. 132 + -132 + 20x = 32 + -132 Combine like terms: 132 + -132 = 0 0 + 20x = 32 + -132 20x = 32 + -132 Combine like terms: 32 + -132 = -100 20x = -100 Divide each side by '20'. x = -5 Simplifying x = -5
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