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Simplifying 0.2x + 6 = 3x + -0.4 Reorder the terms: 6 + 0.2x = 3x + -0.4 Reorder the terms: 6 + 0.2x = -0.4 + 3x Solving 6 + 0.2x = -0.4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + 0.2x + -3x = -0.4 + 3x + -3x Combine like terms: 0.2x + -3x = -2.8x 6 + -2.8x = -0.4 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -2.8x = -0.4 + 0 6 + -2.8x = -0.4 Add '-6' to each side of the equation. 6 + -6 + -2.8x = -0.4 + -6 Combine like terms: 6 + -6 = 0 0 + -2.8x = -0.4 + -6 -2.8x = -0.4 + -6 Combine like terms: -0.4 + -6 = -6.4 -2.8x = -6.4 Divide each side by '-2.8'. x = 2.285714286 Simplifying x = 2.285714286
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