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Simplifying 0.74(x + -9) = x + 6 Reorder the terms: 0.74(-9 + x) = x + 6 (-9 * 0.74 + x * 0.74) = x + 6 (-6.66 + 0.74x) = x + 6 Reorder the terms: -6.66 + 0.74x = 6 + x Solving -6.66 + 0.74x = 6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6.66 + 0.74x + -1x = 6 + x + -1x Combine like terms: 0.74x + -1x = -0.26x -6.66 + -0.26x = 6 + x + -1x Combine like terms: x + -1x = 0 -6.66 + -0.26x = 6 + 0 -6.66 + -0.26x = 6 Add '6.66' to each side of the equation. -6.66 + 6.66 + -0.26x = 6 + 6.66 Combine like terms: -6.66 + 6.66 = 0.00 0.00 + -0.26x = 6 + 6.66 -0.26x = 6 + 6.66 Combine like terms: 6 + 6.66 = 12.66 -0.26x = 12.66 Divide each side by '-0.26'. x = -48.69230769 Simplifying x = -48.69230769
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