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Simplifying 5 + -1(5.25 + 3.1x) = -6.2(2.5x + 1.9) 5 + (5.25 * -1 + 3.1x * -1) = -6.2(2.5x + 1.9) 5 + (-5.25 + -3.1x) = -6.2(2.5x + 1.9) Combine like terms: 5 + -5.25 = -0.25 -0.25 + -3.1x = -6.2(2.5x + 1.9) Reorder the terms: -0.25 + -3.1x = -6.2(1.9 + 2.5x) -0.25 + -3.1x = (1.9 * -6.2 + 2.5x * -6.2) -0.25 + -3.1x = (-11.78 + -15.5x) Solving -0.25 + -3.1x = -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. -0.25 + -3.1x + 15.5x = -11.78 + -15.5x + 15.5x Combine like terms: -3.1x + 15.5x = 12.4x -0.25 + 12.4x = -11.78 + -15.5x + 15.5x Combine like terms: -15.5x + 15.5x = 0.0 -0.25 + 12.4x = -11.78 + 0.0 -0.25 + 12.4x = -11.78 Add '0.25' to each side of the equation. -0.25 + 0.25 + 12.4x = -11.78 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + 12.4x = -11.78 + 0.25 12.4x = -11.78 + 0.25 Combine like terms: -11.78 + 0.25 = -11.53 12.4x = -11.53 Divide each side by '12.4'. x = -0.9298387097 Simplifying x = -0.9298387097
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