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Simplifying 5(2x + 5) + 6(3x + -7) = 39 Reorder the terms: 5(5 + 2x) + 6(3x + -7) = 39 (5 * 5 + 2x * 5) + 6(3x + -7) = 39 (25 + 10x) + 6(3x + -7) = 39 Reorder the terms: 25 + 10x + 6(-7 + 3x) = 39 25 + 10x + (-7 * 6 + 3x * 6) = 39 25 + 10x + (-42 + 18x) = 39 Reorder the terms: 25 + -42 + 10x + 18x = 39 Combine like terms: 25 + -42 = -17 -17 + 10x + 18x = 39 Combine like terms: 10x + 18x = 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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