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Simplifying 6(9x + 5) + -5(10x + 7) = 3 Reorder the terms: 6(5 + 9x) + -5(10x + 7) = 3 (5 * 6 + 9x * 6) + -5(10x + 7) = 3 (30 + 54x) + -5(10x + 7) = 3 Reorder the terms: 30 + 54x + -5(7 + 10x) = 3 30 + 54x + (7 * -5 + 10x * -5) = 3 30 + 54x + (-35 + -50x) = 3 Reorder the terms: 30 + -35 + 54x + -50x = 3 Combine like terms: 30 + -35 = -5 -5 + 54x + -50x = 3 Combine like terms: 54x + -50x = 4x -5 + 4x = 3 Solving -5 + 4x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 4x = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 3 + 5 4x = 3 + 5 Combine like terms: 3 + 5 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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