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Simplifying 7(3x + -1) + -5(x + 5) = 0 Reorder the terms: 7(-1 + 3x) + -5(x + 5) = 0 (-1 * 7 + 3x * 7) + -5(x + 5) = 0 (-7 + 21x) + -5(x + 5) = 0 Reorder the terms: -7 + 21x + -5(5 + x) = 0 -7 + 21x + (5 * -5 + x * -5) = 0 -7 + 21x + (-25 + -5x) = 0 Reorder the terms: -7 + -25 + 21x + -5x = 0 Combine like terms: -7 + -25 = -32 -32 + 21x + -5x = 0 Combine like terms: 21x + -5x = 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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