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Simplifying x + (4x + 30) + 2(4x + 30) = 580 Reorder the terms: x + (30 + 4x) + 2(4x + 30) = 580 Remove parenthesis around (30 + 4x) x + 30 + 4x + 2(4x + 30) = 580 Reorder the terms: x + 30 + 4x + 2(30 + 4x) = 580 x + 30 + 4x + (30 * 2 + 4x * 2) = 580 x + 30 + 4x + (60 + 8x) = 580 Reorder the terms: 30 + 60 + x + 4x + 8x = 580 Combine like terms: 30 + 60 = 90 90 + x + 4x + 8x = 580 Combine like terms: x + 4x = 5x 90 + 5x + 8x = 580 Combine like terms: 5x + 8x = 13x 90 + 13x = 580 Solving 90 + 13x = 580 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 + 13x = 580 + -90 Combine like terms: 90 + -90 = 0 0 + 13x = 580 + -90 13x = 580 + -90 Combine like terms: 580 + -90 = 490 13x = 490 Divide each side by '13'. x = 37.69230769 Simplifying x = 37.69230769
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