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Simplifying 2(3x + -0.2) = 7x + -0.4 Reorder the terms: 2(-0.2 + 3x) = 7x + -0.4 (-0.2 * 2 + 3x * 2) = 7x + -0.4 (-0.4 + 6x) = 7x + -0.4 Reorder the terms: -0.4 + 6x = -0.4 + 7x Add '0.4' to each side of the equation. -0.4 + 0.4 + 6x = -0.4 + 0.4 + 7x Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 6x = -0.4 + 0.4 + 7x 6x = -0.4 + 0.4 + 7x Combine like terms: -0.4 + 0.4 = 0.0 6x = 0.0 + 7x 6x = 7x Solving 6x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6x + -7x = 7x + -7x Combine like terms: 6x + -7x = -1x -1x = 7x + -7x Combine like terms: 7x + -7x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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