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Simplifying -1(4 + -1x) = 3.75(x + -6) (4 * -1 + -1x * -1) = 3.75(x + -6) (-4 + 1x) = 3.75(x + -6) Reorder the terms: -4 + 1x = 3.75(-6 + x) -4 + 1x = (-6 * 3.75 + x * 3.75) -4 + 1x = (-22.5 + 3.75x) Solving -4 + 1x = -22.5 + 3.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.75x' to each side of the equation. -4 + 1x + -3.75x = -22.5 + 3.75x + -3.75x Combine like terms: 1x + -3.75x = -2.75x -4 + -2.75x = -22.5 + 3.75x + -3.75x Combine like terms: 3.75x + -3.75x = 0.00 -4 + -2.75x = -22.5 + 0.00 -4 + -2.75x = -22.5 Add '4' to each side of the equation. -4 + 4 + -2.75x = -22.5 + 4 Combine like terms: -4 + 4 = 0 0 + -2.75x = -22.5 + 4 -2.75x = -22.5 + 4 Combine like terms: -22.5 + 4 = -18.5 -2.75x = -18.5 Divide each side by '-2.75'. x = 6.727272727 Simplifying x = 6.727272727
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