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Simplifying -5.5(5.25 + 3.1x) = -6.2(2.5x + 1.9) (5.25 * -5.5 + 3.1x * -5.5) = -6.2(2.5x + 1.9) (-28.875 + -17.05x) = -6.2(2.5x + 1.9) Reorder the terms: -28.875 + -17.05x = -6.2(1.9 + 2.5x) -28.875 + -17.05x = (1.9 * -6.2 + 2.5x * -6.2) -28.875 + -17.05x = (-11.78 + -15.5x) Solving -28.875 + -17.05x = -11.78 + -15.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15.5x' to each side of the equation. -28.875 + -17.05x + 15.5x = -11.78 + -15.5x + 15.5x Combine like terms: -17.05x + 15.5x = -1.55x -28.875 + -1.55x = -11.78 + -15.5x + 15.5x Combine like terms: -15.5x + 15.5x = 0.0 -28.875 + -1.55x = -11.78 + 0.0 -28.875 + -1.55x = -11.78 Add '28.875' to each side of the equation. -28.875 + 28.875 + -1.55x = -11.78 + 28.875 Combine like terms: -28.875 + 28.875 = 0.000 0.000 + -1.55x = -11.78 + 28.875 -1.55x = -11.78 + 28.875 Combine like terms: -11.78 + 28.875 = 17.095 -1.55x = 17.095 Divide each side by '-1.55'. x = -11.02903226 Simplifying x = -11.02903226
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