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Simplifying x + [x + 20] + 2[x + 20] + 30 = 180 Reorder the terms: x + [20 + x] + 2[x + 20] + 30 = 180 Remove brackets around [20 + x] x + 20 + x + 2[x + 20] + 30 = 180 Reorder the terms: x + 20 + x + 2[20 + x] + 30 = 180 x + 20 + x + [20 * 2 + x * 2] + 30 = 180 x + 20 + x + [40 + 2x] + 30 = 180 Reorder the terms: 20 + 40 + 30 + x + x + 2x = 180 Combine like terms: 20 + 40 = 60 60 + 30 + x + x + 2x = 180 Combine like terms: 60 + 30 = 90 90 + x + x + 2x = 180 Combine like terms: x + x = 2x 90 + 2x + 2x = 180 Combine like terms: 2x + 2x = 4x 90 + 4x = 180 Solving 90 + 4x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + 4x = 180 + -90 Combine like terms: 90 + -90 = 0 0 + 4x = 180 + -90 4x = 180 + -90 Combine like terms: 180 + -90 = 90 4x = 90 Divide each side by '4'. x = 22.5 Simplifying x = 22.5
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