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Simplifying 3(2x + 12) + -4(4 + -6x) = 96 Reorder the terms: 3(12 + 2x) + -4(4 + -6x) = 96 (12 * 3 + 2x * 3) + -4(4 + -6x) = 96 (36 + 6x) + -4(4 + -6x) = 96 36 + 6x + (4 * -4 + -6x * -4) = 96 36 + 6x + (-16 + 24x) = 96 Reorder the terms: 36 + -16 + 6x + 24x = 96 Combine like terms: 36 + -16 = 20 20 + 6x + 24x = 96 Combine like terms: 6x + 24x = 30x 20 + 30x = 96 Solving 20 + 30x = 96 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 30x = 96 + -20 Combine like terms: 20 + -20 = 0 0 + 30x = 96 + -20 30x = 96 + -20 Combine like terms: 96 + -20 = 76 30x = 76 Divide each side by '30'. x = 2.533333333 Simplifying x = 2.533333333
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