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Simplifying 0.6(x + -6) + -0.25x = 0.375(8 + -1x) + 0.5x Reorder the terms: 0.6(-6 + x) + -0.25x = 0.375(8 + -1x) + 0.5x (-6 * 0.6 + x * 0.6) + -0.25x = 0.375(8 + -1x) + 0.5x (-3.6 + 0.6x) + -0.25x = 0.375(8 + -1x) + 0.5x Combine like terms: 0.6x + -0.25x = 0.35x -3.6 + 0.35x = 0.375(8 + -1x) + 0.5x -3.6 + 0.35x = (8 * 0.375 + -1x * 0.375) + 0.5x -3.6 + 0.35x = (3 + -0.375x) + 0.5x Combine like terms: -0.375x + 0.5x = 0.125x -3.6 + 0.35x = 3 + 0.125x Solving -3.6 + 0.35x = 3 + 0.125x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.125x' to each side of the equation. -3.6 + 0.35x + -0.125x = 3 + 0.125x + -0.125x Combine like terms: 0.35x + -0.125x = 0.225x -3.6 + 0.225x = 3 + 0.125x + -0.125x Combine like terms: 0.125x + -0.125x = 0.000 -3.6 + 0.225x = 3 + 0.000 -3.6 + 0.225x = 3 Add '3.6' to each side of the equation. -3.6 + 3.6 + 0.225x = 3 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + 0.225x = 3 + 3.6 0.225x = 3 + 3.6 Combine like terms: 3 + 3.6 = 6.6 0.225x = 6.6 Divide each side by '0.225'. x = 29.33333333 Simplifying x = 29.33333333
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