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Simplifying 6(8x + 3) + -5(4x + 2) = 39 Reorder the terms: 6(3 + 8x) + -5(4x + 2) = 39 (3 * 6 + 8x * 6) + -5(4x + 2) = 39 (18 + 48x) + -5(4x + 2) = 39 Reorder the terms: 18 + 48x + -5(2 + 4x) = 39 18 + 48x + (2 * -5 + 4x * -5) = 39 18 + 48x + (-10 + -20x) = 39 Reorder the terms: 18 + -10 + 48x + -20x = 39 Combine like terms: 18 + -10 = 8 8 + 48x + -20x = 39 Combine like terms: 48x + -20x = 28x 8 + 28x = 39 Solving 8 + 28x = 39 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 + 28x = 39 + -8 Combine like terms: 8 + -8 = 0 0 + 28x = 39 + -8 28x = 39 + -8 Combine like terms: 39 + -8 = 31 28x = 31 Divide each side by '28'. x = 1.107142857 Simplifying x = 1.107142857
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