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Simplifying -1(4 + -1x) = -0.75(x + 6) (4 * -1 + -1x * -1) = -0.75(x + 6) (-4 + 1x) = -0.75(x + 6) Reorder the terms: -4 + 1x = -0.75(6 + x) -4 + 1x = (6 * -0.75 + x * -0.75) -4 + 1x = (-4.5 + -0.75x) Solving -4 + 1x = -4.5 + -0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.75x' to each side of the equation. -4 + 1x + 0.75x = -4.5 + -0.75x + 0.75x Combine like terms: 1x + 0.75x = 1.75x -4 + 1.75x = -4.5 + -0.75x + 0.75x Combine like terms: -0.75x + 0.75x = 0.00 -4 + 1.75x = -4.5 + 0.00 -4 + 1.75x = -4.5 Add '4' to each side of the equation. -4 + 4 + 1.75x = -4.5 + 4 Combine like terms: -4 + 4 = 0 0 + 1.75x = -4.5 + 4 1.75x = -4.5 + 4 Combine like terms: -4.5 + 4 = -0.5 1.75x = -0.5 Divide each side by '1.75'. x = -0.2857142857 Simplifying x = -0.2857142857
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