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Simplifying 4.2x + -3 = 0.2x + 5 Reorder the terms: -3 + 4.2x = 0.2x + 5 Reorder the terms: -3 + 4.2x = 5 + 0.2x Solving -3 + 4.2x = 5 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -3 + 4.2x + -0.2x = 5 + 0.2x + -0.2x Combine like terms: 4.2x + -0.2x = 4x -3 + 4x = 5 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -3 + 4x = 5 + 0.0 -3 + 4x = 5 Add '3' to each side of the equation. -3 + 3 + 4x = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 5 + 3 4x = 5 + 3 Combine like terms: 5 + 3 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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