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Simplifying 2.5x + -17.633 = -3.9(0.23 + 0.7x) Reorder the terms: -17.633 + 2.5x = -3.9(0.23 + 0.7x) -17.633 + 2.5x = (0.23 * -3.9 + 0.7x * -3.9) -17.633 + 2.5x = (-0.897 + -2.73x) Solving -17.633 + 2.5x = -0.897 + -2.73x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.73x' to each side of the equation. -17.633 + 2.5x + 2.73x = -0.897 + -2.73x + 2.73x Combine like terms: 2.5x + 2.73x = 5.23x -17.633 + 5.23x = -0.897 + -2.73x + 2.73x Combine like terms: -2.73x + 2.73x = 0.00 -17.633 + 5.23x = -0.897 + 0.00 -17.633 + 5.23x = -0.897 Add '17.633' to each side of the equation. -17.633 + 17.633 + 5.23x = -0.897 + 17.633 Combine like terms: -17.633 + 17.633 = 0.000 0.000 + 5.23x = -0.897 + 17.633 5.23x = -0.897 + 17.633 Combine like terms: -0.897 + 17.633 = 16.736 5.23x = 16.736 Divide each side by '5.23'. x = 3.2 Simplifying x = 3.2
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