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Simplifying 3.2x + -28 + 1.4x = 0.2x + 2 + 0.4x Reorder the terms: -28 + 3.2x + 1.4x = 0.2x + 2 + 0.4x Combine like terms: 3.2x + 1.4x = 4.6x -28 + 4.6x = 0.2x + 2 + 0.4x Reorder the terms: -28 + 4.6x = 2 + 0.2x + 0.4x Combine like terms: 0.2x + 0.4x = 0.6x -28 + 4.6x = 2 + 0.6x Solving -28 + 4.6x = 2 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. -28 + 4.6x + -0.6x = 2 + 0.6x + -0.6x Combine like terms: 4.6x + -0.6x = 4x -28 + 4x = 2 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 -28 + 4x = 2 + 0.0 -28 + 4x = 2 Add '28' to each side of the equation. -28 + 28 + 4x = 2 + 28 Combine like terms: -28 + 28 = 0 0 + 4x = 2 + 28 4x = 2 + 28 Combine like terms: 2 + 28 = 30 4x = 30 Divide each side by '4'. x = 7.5 Simplifying x = 7.5
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