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Simplifying -1(4 + -1x) = 75(x + -6) (4 * -1 + -1x * -1) = 75(x + -6) (-4 + 1x) = 75(x + -6) Reorder the terms: -4 + 1x = 75(-6 + x) -4 + 1x = (-6 * 75 + x * 75) -4 + 1x = (-450 + 75x) Solving -4 + 1x = -450 + 75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75x' to each side of the equation. -4 + 1x + -75x = -450 + 75x + -75x Combine like terms: 1x + -75x = -74x -4 + -74x = -450 + 75x + -75x Combine like terms: 75x + -75x = 0 -4 + -74x = -450 + 0 -4 + -74x = -450 Add '4' to each side of the equation. -4 + 4 + -74x = -450 + 4 Combine like terms: -4 + 4 = 0 0 + -74x = -450 + 4 -74x = -450 + 4 Combine like terms: -450 + 4 = -446 -74x = -446 Divide each side by '-74'. x = 6.027027027 Simplifying x = 6.027027027
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