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Simplifying 2(3x + 7) + 2(2x + -3) = 820 Reorder the terms: 2(7 + 3x) + 2(2x + -3) = 820 (7 * 2 + 3x * 2) + 2(2x + -3) = 820 (14 + 6x) + 2(2x + -3) = 820 Reorder the terms: 14 + 6x + 2(-3 + 2x) = 820 14 + 6x + (-3 * 2 + 2x * 2) = 820 14 + 6x + (-6 + 4x) = 820 Reorder the terms: 14 + -6 + 6x + 4x = 820 Combine like terms: 14 + -6 = 8 8 + 6x + 4x = 820 Combine like terms: 6x + 4x = 10x 8 + 10x = 820 Solving 8 + 10x = 820 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 10x = 820 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = 820 + -8 10x = 820 + -8 Combine like terms: 820 + -8 = 812 10x = 812 Divide each side by '10'. x = 81.2 Simplifying x = 81.2
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