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Simplifying 3.8x + -1(6 + 0.4x) = 1.3(6 + -2.6x) 3.8x + (6 * -1 + 0.4x * -1) = 1.3(6 + -2.6x) 3.8x + (-6 + -0.4x) = 1.3(6 + -2.6x) Reorder the terms: -6 + 3.8x + -0.4x = 1.3(6 + -2.6x) Combine like terms: 3.8x + -0.4x = 3.4x -6 + 3.4x = 1.3(6 + -2.6x) -6 + 3.4x = (6 * 1.3 + -2.6x * 1.3) -6 + 3.4x = (7.8 + -3.38x) Solving -6 + 3.4x = 7.8 + -3.38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.38x' to each side of the equation. -6 + 3.4x + 3.38x = 7.8 + -3.38x + 3.38x Combine like terms: 3.4x + 3.38x = 6.78x -6 + 6.78x = 7.8 + -3.38x + 3.38x Combine like terms: -3.38x + 3.38x = 0.00 -6 + 6.78x = 7.8 + 0.00 -6 + 6.78x = 7.8 Add '6' to each side of the equation. -6 + 6 + 6.78x = 7.8 + 6 Combine like terms: -6 + 6 = 0 0 + 6.78x = 7.8 + 6 6.78x = 7.8 + 6 Combine like terms: 7.8 + 6 = 13.8 6.78x = 13.8 Divide each side by '6.78'. x = 2.03539823 Simplifying x = 2.03539823
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