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Simplifying 3(3x + 5) + -5(x + 7) = 60 Reorder the terms: 3(5 + 3x) + -5(x + 7) = 60 (5 * 3 + 3x * 3) + -5(x + 7) = 60 (15 + 9x) + -5(x + 7) = 60 Reorder the terms: 15 + 9x + -5(7 + x) = 60 15 + 9x + (7 * -5 + x * -5) = 60 15 + 9x + (-35 + -5x) = 60 Reorder the terms: 15 + -35 + 9x + -5x = 60 Combine like terms: 15 + -35 = -20 -20 + 9x + -5x = 60 Combine like terms: 9x + -5x = 4x -20 + 4x = 60 Solving -20 + 4x = 60 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 4x = 60 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = 60 + 20 4x = 60 + 20 Combine like terms: 60 + 20 = 80 4x = 80 Divide each side by '4'. x = 20 Simplifying x = 20
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