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Simplifying 4.2 + 2.8x = -1.2x + 8.2 Reorder the terms: 4.2 + 2.8x = 8.2 + -1.2x Solving 4.2 + 2.8x = 8.2 + -1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.2x' to each side of the equation. 4.2 + 2.8x + 1.2x = 8.2 + -1.2x + 1.2x Combine like terms: 2.8x + 1.2x = 4x 4.2 + 4x = 8.2 + -1.2x + 1.2x Combine like terms: -1.2x + 1.2x = 0.0 4.2 + 4x = 8.2 + 0.0 4.2 + 4x = 8.2 Add '-4.2' to each side of the equation. 4.2 + -4.2 + 4x = 8.2 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + 4x = 8.2 + -4.2 4x = 8.2 + -4.2 Combine like terms: 8.2 + -4.2 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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