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Simplifying [2(x + 15)] + (10x + 36) = 90 Reorder the terms: [2(15 + x)] + (10x + 36) = 90 [(15 * 2 + x * 2)] + (10x + 36) = 90 [(30 + 2x)] + (10x + 36) = 90 [30 + 2x] + (10x + 36) = 90 Remove brackets around [30 + 2x] 30 + 2x + (10x + 36) = 90 Reorder the terms: 30 + 2x + (36 + 10x) = 90 Remove parenthesis around (36 + 10x) 30 + 2x + 36 + 10x = 90 Reorder the terms: 30 + 36 + 2x + 10x = 90 Combine like terms: 30 + 36 = 66 66 + 2x + 10x = 90 Combine like terms: 2x + 10x = 12x 66 + 12x = 90 Solving 66 + 12x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + 12x = 90 + -66 Combine like terms: 66 + -66 = 0 0 + 12x = 90 + -66 12x = 90 + -66 Combine like terms: 90 + -66 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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