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Simplifying 27.8 = 19.6 + -1(x + -17.7) Reorder the terms: 27.8 = 19.6 + -1(-17.7 + x) 27.8 = 19.6 + (-17.7 * -1 + x * -1) 27.8 = 19.6 + (17.7 + -1x) Combine like terms: 19.6 + 17.7 = 37.3 27.8 = 37.3 + -1x Solving 27.8 = 37.3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 27.8 + x = 37.3 + -1x + x Combine like terms: -1x + x = 0 27.8 + x = 37.3 + 0 27.8 + x = 37.3 Add '-27.8' to each side of the equation. 27.8 + -27.8 + x = 37.3 + -27.8 Combine like terms: 27.8 + -27.8 = 0.0 0.0 + x = 37.3 + -27.8 x = 37.3 + -27.8 Combine like terms: 37.3 + -27.8 = 9.5 x = 9.5 Simplifying x = 9.5
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