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Simplifying 2(x + 4) + 6(2x + 8) = 10 Reorder the terms: 2(4 + x) + 6(2x + 8) = 10 (4 * 2 + x * 2) + 6(2x + 8) = 10 (8 + 2x) + 6(2x + 8) = 10 Reorder the terms: 8 + 2x + 6(8 + 2x) = 10 8 + 2x + (8 * 6 + 2x * 6) = 10 8 + 2x + (48 + 12x) = 10 Reorder the terms: 8 + 48 + 2x + 12x = 10 Combine like terms: 8 + 48 = 56 56 + 2x + 12x = 10 Combine like terms: 2x + 12x = 14x 56 + 14x = 10 Solving 56 + 14x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 14x = 10 + -56 Combine like terms: 56 + -56 = 0 0 + 14x = 10 + -56 14x = 10 + -56 Combine like terms: 10 + -56 = -46 14x = -46 Divide each side by '14'. x = -3.285714286 Simplifying x = -3.285714286
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