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Simplifying 3(3x + 1) + 7(x + -5) = 0 Reorder the terms: 3(1 + 3x) + 7(x + -5) = 0 (1 * 3 + 3x * 3) + 7(x + -5) = 0 (3 + 9x) + 7(x + -5) = 0 Reorder the terms: 3 + 9x + 7(-5 + x) = 0 3 + 9x + (-5 * 7 + x * 7) = 0 3 + 9x + (-35 + 7x) = 0 Reorder the terms: 3 + -35 + 9x + 7x = 0 Combine like terms: 3 + -35 = -32 -32 + 9x + 7x = 0 Combine like terms: 9x + 7x = 16x -32 + 16x = 0 Solving -32 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 16x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 16x = 0 + 32 16x = 0 + 32 Combine like terms: 0 + 32 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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