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Simplifying [15 + 3(4X + 3)] + -2X = 54 Reorder the terms: [15 + 3(3 + 4X)] + -2X = 54 [15 + (3 * 3 + 4X * 3)] + -2X = 54 [15 + (9 + 12X)] + -2X = 54 Combine like terms: 15 + 9 = 24 [24 + 12X] + -2X = 54 Remove brackets around [24 + 12X] 24 + 12X + -2X = 54 Combine like terms: 12X + -2X = 10X 24 + 10X = 54 Solving 24 + 10X = 54 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 + 10X = 54 + -24 Combine like terms: 24 + -24 = 0 0 + 10X = 54 + -24 10X = 54 + -24 Combine like terms: 54 + -24 = 30 10X = 30 Divide each side by '10'. X = 3 Simplifying X = 3
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