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Simplifying x + (3x + 10) + 2(3x + 10) = 830 Reorder the terms: x + (10 + 3x) + 2(3x + 10) = 830 Remove parenthesis around (10 + 3x) x + 10 + 3x + 2(3x + 10) = 830 Reorder the terms: x + 10 + 3x + 2(10 + 3x) = 830 x + 10 + 3x + (10 * 2 + 3x * 2) = 830 x + 10 + 3x + (20 + 6x) = 830 Reorder the terms: 10 + 20 + x + 3x + 6x = 830 Combine like terms: 10 + 20 = 30 30 + x + 3x + 6x = 830 Combine like terms: x + 3x = 4x 30 + 4x + 6x = 830 Combine like terms: 4x + 6x = 10x 30 + 10x = 830 Solving 30 + 10x = 830 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 + 10x = 830 + -30 Combine like terms: 30 + -30 = 0 0 + 10x = 830 + -30 10x = 830 + -30 Combine like terms: 830 + -30 = 800 10x = 800 Divide each side by '10'. x = 80 Simplifying x = 80
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