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Simplifying -5(5.25 + 3.1x) = -6.25(2.5x + 1.9) (5.25 * -5 + 3.1x * -5) = -6.25(2.5x + 1.9) (-26.25 + -15.5x) = -6.25(2.5x + 1.9) Reorder the terms: -26.25 + -15.5x = -6.25(1.9 + 2.5x) -26.25 + -15.5x = (1.9 * -6.25 + 2.5x * -6.25) -26.25 + -15.5x = (-11.875 + -15.625x) Solving -26.25 + -15.5x = -11.875 + -15.625x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15.625x' to each side of the equation. -26.25 + -15.5x + 15.625x = -11.875 + -15.625x + 15.625x Combine like terms: -15.5x + 15.625x = 0.125x -26.25 + 0.125x = -11.875 + -15.625x + 15.625x Combine like terms: -15.625x + 15.625x = 0.000 -26.25 + 0.125x = -11.875 + 0.000 -26.25 + 0.125x = -11.875 Add '26.25' to each side of the equation. -26.25 + 26.25 + 0.125x = -11.875 + 26.25 Combine like terms: -26.25 + 26.25 = 0.00 0.00 + 0.125x = -11.875 + 26.25 0.125x = -11.875 + 26.25 Combine like terms: -11.875 + 26.25 = 14.375 0.125x = 14.375 Divide each side by '0.125'. x = 115 Simplifying x = 115
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