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Simplifying X + 2(x + 12) + 3(x + 10) = 180 Reorder the terms: X + 2(12 + x) + 3(x + 10) = 180 X + (12 * 2 + x * 2) + 3(x + 10) = 180 X + (24 + 2x) + 3(x + 10) = 180 Reorder the terms: X + 24 + 2x + 3(10 + x) = 180 X + 24 + 2x + (10 * 3 + x * 3) = 180 X + 24 + 2x + (30 + 3x) = 180 Reorder the terms: 24 + 30 + X + 2x + 3x = 180 Combine like terms: 24 + 30 = 54 54 + X + 2x + 3x = 180 Combine like terms: 2x + 3x = 5x 54 + X + 5x = 180 Solving 54 + X + 5x = 180 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + X + -54 + 5x = 180 + -54 Reorder the terms: 54 + -54 + X + 5x = 180 + -54 Combine like terms: 54 + -54 = 0 0 + X + 5x = 180 + -54 X + 5x = 180 + -54 Combine like terms: 180 + -54 = 126 X + 5x = 126 Add '-5x' to each side of the equation. X + 5x + -5x = 126 + -5x Combine like terms: 5x + -5x = 0 X + 0 = 126 + -5x X = 126 + -5x Simplifying X = 126 + -5x
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