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Simplifying 6(8x + 3) + -5(4x + 7) = 39 Reorder the terms: 6(3 + 8x) + -5(4x + 7) = 39 (3 * 6 + 8x * 6) + -5(4x + 7) = 39 (18 + 48x) + -5(4x + 7) = 39 Reorder the terms: 18 + 48x + -5(7 + 4x) = 39 18 + 48x + (7 * -5 + 4x * -5) = 39 18 + 48x + (-35 + -20x) = 39 Reorder the terms: 18 + -35 + 48x + -20x = 39 Combine like terms: 18 + -35 = -17 -17 + 48x + -20x = 39 Combine like terms: 48x + -20x = 28x -17 + 28x = 39 Solving -17 + 28x = 39 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 28x = 39 + 17 Combine like terms: -17 + 17 = 0 0 + 28x = 39 + 17 28x = 39 + 17 Combine like terms: 39 + 17 = 56 28x = 56 Divide each side by '28'. x = 2 Simplifying x = 2
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