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Simplifying 1.2x + -5 + 3 = 3.2 + -5.6x + 0.4x Reorder the terms: -5 + 3 + 1.2x = 3.2 + -5.6x + 0.4x Combine like terms: -5 + 3 = -2 -2 + 1.2x = 3.2 + -5.6x + 0.4x Combine like terms: -5.6x + 0.4x = -5.2x -2 + 1.2x = 3.2 + -5.2x Solving -2 + 1.2x = 3.2 + -5.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.2x' to each side of the equation. -2 + 1.2x + 5.2x = 3.2 + -5.2x + 5.2x Combine like terms: 1.2x + 5.2x = 6.4x -2 + 6.4x = 3.2 + -5.2x + 5.2x Combine like terms: -5.2x + 5.2x = 0.0 -2 + 6.4x = 3.2 + 0.0 -2 + 6.4x = 3.2 Add '2' to each side of the equation. -2 + 2 + 6.4x = 3.2 + 2 Combine like terms: -2 + 2 = 0 0 + 6.4x = 3.2 + 2 6.4x = 3.2 + 2 Combine like terms: 3.2 + 2 = 5.2 6.4x = 5.2 Divide each side by '6.4'. x = 0.8125 Simplifying x = 0.8125
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