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Simplifying 15x + 4(6 + -3x) = 384 15x + (6 * 4 + -3x * 4) = 384 15x + (24 + -12x) = 384 Reorder the terms: 24 + 15x + -12x = 384 Combine like terms: 15x + -12x = 3x 24 + 3x = 384 Solving 24 + 3x = 384 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 3x = 384 + -24 Combine like terms: 24 + -24 = 0 0 + 3x = 384 + -24 3x = 384 + -24 Combine like terms: 384 + -24 = 360 3x = 360 Divide each side by '3'. x = 120 Simplifying x = 120
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