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Simplifying 2(3x + -0.2) = 5x + -0.4 Reorder the terms: 2(-0.2 + 3x) = 5x + -0.4 (-0.2 * 2 + 3x * 2) = 5x + -0.4 (-0.4 + 6x) = 5x + -0.4 Reorder the terms: -0.4 + 6x = -0.4 + 5x Add '0.4' to each side of the equation. -0.4 + 0.4 + 6x = -0.4 + 0.4 + 5x Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 6x = -0.4 + 0.4 + 5x 6x = -0.4 + 0.4 + 5x Combine like terms: -0.4 + 0.4 = 0.0 6x = 0.0 + 5x 6x = 5x Solving 6x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6x + -5x = 5x + -5x Combine like terms: 6x + -5x = 1x 1x = 5x + -5x Combine like terms: 5x + -5x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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