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Simplifying 12(2x + 11) = 30x Reorder the terms: 12(11 + 2x) = 30x (11 * 12 + 2x * 12) = 30x (132 + 24x) = 30x Solving 132 + 24x = 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 132 + 24x + -30x = 30x + -30x Combine like terms: 24x + -30x = -6x 132 + -6x = 30x + -30x Combine like terms: 30x + -30x = 0 132 + -6x = 0 Add '-132' to each side of the equation. 132 + -132 + -6x = 0 + -132 Combine like terms: 132 + -132 = 0 0 + -6x = 0 + -132 -6x = 0 + -132 Combine like terms: 0 + -132 = -132 -6x = -132 Divide each side by '-6'. x = 22 Simplifying x = 22
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