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Simplifying 4(x + -3(7 + -1(5 + -1x))) = 0 4(x + -3(7 + (5 * -1 + -1x * -1))) = 0 4(x + -3(7 + (-5 + 1x))) = 0 Combine like terms: 7 + -5 = 2 4(x + -3(2 + 1x)) = 0 4(x + (2 * -3 + 1x * -3)) = 0 4(x + (-6 + -3x)) = 0 Reorder the terms: 4(-6 + x + -3x) = 0 Combine like terms: x + -3x = -2x 4(-6 + -2x) = 0 (-6 * 4 + -2x * 4) = 0 (-24 + -8x) = 0 Solving -24 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -8x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -8x = 0 + 24 -8x = 0 + 24 Combine like terms: 0 + 24 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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