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Simplifying -0.11(x + -27) + 0.33(x + 3) = x + -17 Reorder the terms: -0.11(-27 + x) + 0.33(x + 3) = x + -17 (-27 * -0.11 + x * -0.11) + 0.33(x + 3) = x + -17 (2.97 + -0.11x) + 0.33(x + 3) = x + -17 Reorder the terms: 2.97 + -0.11x + 0.33(3 + x) = x + -17 2.97 + -0.11x + (3 * 0.33 + x * 0.33) = x + -17 2.97 + -0.11x + (0.99 + 0.33x) = x + -17 Reorder the terms: 2.97 + 0.99 + -0.11x + 0.33x = x + -17 Combine like terms: 2.97 + 0.99 = 3.96 3.96 + -0.11x + 0.33x = x + -17 Combine like terms: -0.11x + 0.33x = 0.22x 3.96 + 0.22x = x + -17 Reorder the terms: 3.96 + 0.22x = -17 + x Solving 3.96 + 0.22x = -17 + 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. 3.96 + 0.22x + -1x = -17 + x + -1x Combine like terms: 0.22x + -1x = -0.78x 3.96 + -0.78x = -17 + x + -1x Combine like terms: x + -1x = 0 3.96 + -0.78x = -17 + 0 3.96 + -0.78x = -17 Add '-3.96' to each side of the equation. 3.96 + -3.96 + -0.78x = -17 + -3.96 Combine like terms: 3.96 + -3.96 = 0.00 0.00 + -0.78x = -17 + -3.96 -0.78x = -17 + -3.96 Combine like terms: -17 + -3.96 = -20.96 -0.78x = -20.96 Divide each side by '-0.78'. x = 26.87179487 Simplifying x = 26.87179487
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