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Simplifying 0.6667(6 + -9) = 4x + 1 Combine like terms: 6 + -9 = -3 0.6667(-3) = 4x + 1 Multiply 0.6667 * -3 -2.0001 = 4x + 1 Reorder the terms: -2.0001 = 1 + 4x Solving -2.0001 = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2.0001 + -4x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -2.0001 + -4x = 1 + 0 -2.0001 + -4x = 1 Add '2.0001' to each side of the equation. -2.0001 + 2.0001 + -4x = 1 + 2.0001 Combine like terms: -2.0001 + 2.0001 = 0.0000 0.0000 + -4x = 1 + 2.0001 -4x = 1 + 2.0001 Combine like terms: 1 + 2.0001 = 3.0001 -4x = 3.0001 Divide each side by '-4'. x = -0.750025 Simplifying x = -0.750025
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