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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 = 0.25x -4 + 0.25x = -4.5 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 -4 + 0.25x = -4.5 + 0.00 -4 + 0.25x = -4.5 Add '4' to each side of the equation. -4 + 4 + 0.25x = -4.5 + 4 Combine like terms: -4 + 4 = 0 0 + 0.25x = -4.5 + 4 0.25x = -4.5 + 4 Combine like terms: -4.5 + 4 = -0.5 0.25x = -0.5 Divide each side by '0.25'. x = -2 Simplifying x = -2
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