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Simplifying 0.3x + -102(x + -9) = 0.2(x + -1) Reorder the terms: 0.3x + -102(-9 + x) = 0.2(x + -1) 0.3x + (-9 * -102 + x * -102) = 0.2(x + -1) 0.3x + (918 + -102x) = 0.2(x + -1) Reorder the terms: 918 + 0.3x + -102x = 0.2(x + -1) Combine like terms: 0.3x + -102x = -101.7x 918 + -101.7x = 0.2(x + -1) Reorder the terms: 918 + -101.7x = 0.2(-1 + x) 918 + -101.7x = (-1 * 0.2 + x * 0.2) 918 + -101.7x = (-0.2 + 0.2x) Solving 918 + -101.7x = -0.2 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 918 + -101.7x + -0.2x = -0.2 + 0.2x + -0.2x Combine like terms: -101.7x + -0.2x = -101.9x 918 + -101.9x = -0.2 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 918 + -101.9x = -0.2 + 0.0 918 + -101.9x = -0.2 Add '-918' to each side of the equation. 918 + -918 + -101.9x = -0.2 + -918 Combine like terms: 918 + -918 = 0 0 + -101.9x = -0.2 + -918 -101.9x = -0.2 + -918 Combine like terms: -0.2 + -918 = -918.2 -101.9x = -918.2 Divide each side by '-101.9'. x = 9.010794897 Simplifying x = 9.010794897
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