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Simplifying 7(2x + 5) + 6(x + 8) = 7 Reorder the terms: 7(5 + 2x) + 6(x + 8) = 7 (5 * 7 + 2x * 7) + 6(x + 8) = 7 (35 + 14x) + 6(x + 8) = 7 Reorder the terms: 35 + 14x + 6(8 + x) = 7 35 + 14x + (8 * 6 + x * 6) = 7 35 + 14x + (48 + 6x) = 7 Reorder the terms: 35 + 48 + 14x + 6x = 7 Combine like terms: 35 + 48 = 83 83 + 14x + 6x = 7 Combine like terms: 14x + 6x = 20x 83 + 20x = 7 Solving 83 + 20x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-83' to each side of the equation. 83 + -83 + 20x = 7 + -83 Combine like terms: 83 + -83 = 0 0 + 20x = 7 + -83 20x = 7 + -83 Combine like terms: 7 + -83 = -76 20x = -76 Divide each side by '20'. x = -3.8 Simplifying x = -3.8
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