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Simplifying x + 2x + [2(2x + 10) + 10] = 180 Reorder the terms: x + 2x + [2(10 + 2x) + 10] = 180 x + 2x + [(10 * 2 + 2x * 2) + 10] = 180 x + 2x + [(20 + 4x) + 10] = 180 Reorder the terms: x + 2x + [20 + 10 + 4x] = 180 Combine like terms: 20 + 10 = 30 x + 2x + [30 + 4x] = 180 Remove brackets around [30 + 4x] x + 2x + 30 + 4x = 180 Reorder the terms: 30 + x + 2x + 4x = 180 Combine like terms: x + 2x = 3x 30 + 3x + 4x = 180 Combine like terms: 3x + 4x = 7x 30 + 7x = 180 Solving 30 + 7x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 7x = 180 + -30 Combine like terms: 30 + -30 = 0 0 + 7x = 180 + -30 7x = 180 + -30 Combine like terms: 180 + -30 = 150 7x = 150 Divide each side by '7'. x = 21.42857143 Simplifying x = 21.42857143
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