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Simplifying 0.666(x + -1) = -2x + 10 Reorder the terms: 0.666(-1 + x) = -2x + 10 (-1 * 0.666 + x * 0.666) = -2x + 10 (-0.666 + 0.666x) = -2x + 10 Reorder the terms: -0.666 + 0.666x = 10 + -2x Solving -0.666 + 0.666x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -0.666 + 0.666x + 2x = 10 + -2x + 2x Combine like terms: 0.666x + 2x = 2.666x -0.666 + 2.666x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -0.666 + 2.666x = 10 + 0 -0.666 + 2.666x = 10 Add '0.666' to each side of the equation. -0.666 + 0.666 + 2.666x = 10 + 0.666 Combine like terms: -0.666 + 0.666 = 0.000 0.000 + 2.666x = 10 + 0.666 2.666x = 10 + 0.666 Combine like terms: 10 + 0.666 = 10.666 2.666x = 10.666 Divide each side by '2.666'. x = 4.000750188 Simplifying x = 4.000750188
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