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Simplifying -5(5.25 + 31x) = -6.2(2.5x + 1.9) (5.25 * -5 + 31x * -5) = -6.2(2.5x + 1.9) (-26.25 + -155x) = -6.2(2.5x + 1.9) Reorder the terms: -26.25 + -155x = -6.2(1.9 + 2.5x) -26.25 + -155x = (1.9 * -6.2 + 2.5x * -6.2) -26.25 + -155x = (-11.78 + -15.5x) Solving -26.25 + -155x = -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. -26.25 + -155x + 15.5x = -11.78 + -15.5x + 15.5x Combine like terms: -155x + 15.5x = -139.5x -26.25 + -139.5x = -11.78 + -15.5x + 15.5x Combine like terms: -15.5x + 15.5x = 0.0 -26.25 + -139.5x = -11.78 + 0.0 -26.25 + -139.5x = -11.78 Add '26.25' to each side of the equation. -26.25 + 26.25 + -139.5x = -11.78 + 26.25 Combine like terms: -26.25 + 26.25 = 0.00 0.00 + -139.5x = -11.78 + 26.25 -139.5x = -11.78 + 26.25 Combine like terms: -11.78 + 26.25 = 14.47 -139.5x = 14.47 Divide each side by '-139.5'. x = -0.1037275986 Simplifying x = -0.1037275986
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