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Simplifying 0.8 = 100 + -9.1(x + -1.9) Reorder the terms: 0.8 = 100 + -9.1(-1.9 + x) 0.8 = 100 + (-1.9 * -9.1 + x * -9.1) 0.8 = 100 + (17.29 + -9.1x) Combine like terms: 100 + 17.29 = 117.29 0.8 = 117.29 + -9.1x Solving 0.8 = 117.29 + -9.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.1x' to each side of the equation. 0.8 + 9.1x = 117.29 + -9.1x + 9.1x Combine like terms: -9.1x + 9.1x = 0.0 0.8 + 9.1x = 117.29 + 0.0 0.8 + 9.1x = 117.29 Add '-0.8' to each side of the equation. 0.8 + -0.8 + 9.1x = 117.29 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 9.1x = 117.29 + -0.8 9.1x = 117.29 + -0.8 Combine like terms: 117.29 + -0.8 = 116.49 9.1x = 116.49 Divide each side by '9.1'. x = 12.8010989 Simplifying x = 12.8010989
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