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Simplifying 0.75 + -1(8 + -6x) = 0.667(7 + -4x) 0.75 + (8 * -1 + -6x * -1) = 0.667(7 + -4x) 0.75 + (-8 + 6x) = 0.667(7 + -4x) Combine like terms: 0.75 + -8 = -7.25 -7.25 + 6x = 0.667(7 + -4x) -7.25 + 6x = (7 * 0.667 + -4x * 0.667) -7.25 + 6x = (4.669 + -2.668x) Solving -7.25 + 6x = 4.669 + -2.668x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.668x' to each side of the equation. -7.25 + 6x + 2.668x = 4.669 + -2.668x + 2.668x Combine like terms: 6x + 2.668x = 8.668x -7.25 + 8.668x = 4.669 + -2.668x + 2.668x Combine like terms: -2.668x + 2.668x = 0.000 -7.25 + 8.668x = 4.669 + 0.000 -7.25 + 8.668x = 4.669 Add '7.25' to each side of the equation. -7.25 + 7.25 + 8.668x = 4.669 + 7.25 Combine like terms: -7.25 + 7.25 = 0.00 0.00 + 8.668x = 4.669 + 7.25 8.668x = 4.669 + 7.25 Combine like terms: 4.669 + 7.25 = 11.919 8.668x = 11.919 Divide each side by '8.668'. x = 1.375057683 Simplifying x = 1.375057683
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