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Simplifying -0.2 + 0.4x = -6.5 + 2.5x Solving -0.2 + 0.4x = -6.5 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. -0.2 + 0.4x + -2.5x = -6.5 + 2.5x + -2.5x Combine like terms: 0.4x + -2.5x = -2.1x -0.2 + -2.1x = -6.5 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 -0.2 + -2.1x = -6.5 + 0.0 -0.2 + -2.1x = -6.5 Add '0.2' to each side of the equation. -0.2 + 0.2 + -2.1x = -6.5 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + -2.1x = -6.5 + 0.2 -2.1x = -6.5 + 0.2 Combine like terms: -6.5 + 0.2 = -6.3 -2.1x = -6.3 Divide each side by '-2.1'. x = 3 Simplifying x = 3
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