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Simplifying -1(4 + -1x) = 5(x + -6) + 0.75(x + -6) (4 * -1 + -1x * -1) = 5(x + -6) + 0.75(x + -6) (-4 + 1x) = 5(x + -6) + 0.75(x + -6) Reorder the terms: -4 + 1x = 5(-6 + x) + 0.75(x + -6) -4 + 1x = (-6 * 5 + x * 5) + 0.75(x + -6) -4 + 1x = (-30 + 5x) + 0.75(x + -6) Reorder the terms: -4 + 1x = -30 + 5x + 0.75(-6 + x) -4 + 1x = -30 + 5x + (-6 * 0.75 + x * 0.75) -4 + 1x = -30 + 5x + (-4.5 + 0.75x) Reorder the terms: -4 + 1x = -30 + -4.5 + 5x + 0.75x Combine like terms: -30 + -4.5 = -34.5 -4 + 1x = -34.5 + 5x + 0.75x Combine like terms: 5x + 0.75x = 5.75x -4 + 1x = -34.5 + 5.75x Solving -4 + 1x = -34.5 + 5.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.75x' to each side of the equation. -4 + 1x + -5.75x = -34.5 + 5.75x + -5.75x Combine like terms: 1x + -5.75x = -4.75x -4 + -4.75x = -34.5 + 5.75x + -5.75x Combine like terms: 5.75x + -5.75x = 0.00 -4 + -4.75x = -34.5 + 0.00 -4 + -4.75x = -34.5 Add '4' to each side of the equation. -4 + 4 + -4.75x = -34.5 + 4 Combine like terms: -4 + 4 = 0 0 + -4.75x = -34.5 + 4 -4.75x = -34.5 + 4 Combine like terms: -34.5 + 4 = -30.5 -4.75x = -30.5 Divide each side by '-4.75'. x = 6.421052632 Simplifying x = 6.421052632
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