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Simplifying 0.2x + -2 = 3x + 5.2 Reorder the terms: -2 + 0.2x = 3x + 5.2 Reorder the terms: -2 + 0.2x = 5.2 + 3x Solving -2 + 0.2x = 5.2 + 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. -2 + 0.2x + -3x = 5.2 + 3x + -3x Combine like terms: 0.2x + -3x = -2.8x -2 + -2.8x = 5.2 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -2.8x = 5.2 + 0 -2 + -2.8x = 5.2 Add '2' to each side of the equation. -2 + 2 + -2.8x = 5.2 + 2 Combine like terms: -2 + 2 = 0 0 + -2.8x = 5.2 + 2 -2.8x = 5.2 + 2 Combine like terms: 5.2 + 2 = 7.2 -2.8x = 7.2 Divide each side by '-2.8'. x = -2.571428571 Simplifying x = -2.571428571
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