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Simplifying 0.5(3x + -7) = 0.666(4 + -1x) Reorder the terms: 0.5(-7 + 3x) = 0.666(4 + -1x) (-7 * 0.5 + 3x * 0.5) = 0.666(4 + -1x) (-3.5 + 1.5x) = 0.666(4 + -1x) -3.5 + 1.5x = (4 * 0.666 + -1x * 0.666) -3.5 + 1.5x = (2.664 + -0.666x) Solving -3.5 + 1.5x = 2.664 + -0.666x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.666x' to each side of the equation. -3.5 + 1.5x + 0.666x = 2.664 + -0.666x + 0.666x Combine like terms: 1.5x + 0.666x = 2.166x -3.5 + 2.166x = 2.664 + -0.666x + 0.666x Combine like terms: -0.666x + 0.666x = 0.000 -3.5 + 2.166x = 2.664 + 0.000 -3.5 + 2.166x = 2.664 Add '3.5' to each side of the equation. -3.5 + 3.5 + 2.166x = 2.664 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + 2.166x = 2.664 + 3.5 2.166x = 2.664 + 3.5 Combine like terms: 2.664 + 3.5 = 6.164 2.166x = 6.164 Divide each side by '2.166'. x = 2.845798707 Simplifying x = 2.845798707
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