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Simplifying 0.2(3x + -4) + (2x + -5) = 0 Reorder the terms: 0.2(-4 + 3x) + (2x + -5) = 0 (-4 * 0.2 + 3x * 0.2) + (2x + -5) = 0 (-0.8 + 0.6x) + (2x + -5) = 0 Reorder the terms: -0.8 + 0.6x + (-5 + 2x) = 0 Remove parenthesis around (-5 + 2x) -0.8 + 0.6x + -5 + 2x = 0 Reorder the terms: -0.8 + -5 + 0.6x + 2x = 0 Combine like terms: -0.8 + -5 = -5.8 -5.8 + 0.6x + 2x = 0 Combine like terms: 0.6x + 2x = 2.6x -5.8 + 2.6x = 0 Solving -5.8 + 2.6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.8' to each side of the equation. -5.8 + 5.8 + 2.6x = 0 + 5.8 Combine like terms: -5.8 + 5.8 = 0.0 0.0 + 2.6x = 0 + 5.8 2.6x = 0 + 5.8 Combine like terms: 0 + 5.8 = 5.8 2.6x = 5.8 Divide each side by '2.6'. x = 2.230769231 Simplifying x = 2.230769231
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