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Simplifying [4x + 6] + [7x + 15] = 120 Reorder the terms: [6 + 4x] + [7x + 15] = 120 Remove brackets around [6 + 4x] 6 + 4x + [7x + 15] = 120 Reorder the terms: 6 + 4x + [15 + 7x] = 120 Remove brackets around [15 + 7x] 6 + 4x + 15 + 7x = 120 Reorder the terms: 6 + 15 + 4x + 7x = 120 Combine like terms: 6 + 15 = 21 21 + 4x + 7x = 120 Combine like terms: 4x + 7x = 11x 21 + 11x = 120 Solving 21 + 11x = 120 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 11x = 120 + -21 Combine like terms: 21 + -21 = 0 0 + 11x = 120 + -21 11x = 120 + -21 Combine like terms: 120 + -21 = 99 11x = 99 Divide each side by '11'. x = 9 Simplifying x = 9
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