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Simplifying 0.7x + 0.2 = -0.3x + 4 Reorder the terms: 0.2 + 0.7x = -0.3x + 4 Reorder the terms: 0.2 + 0.7x = 4 + -0.3x Solving 0.2 + 0.7x = 4 + -0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3x' to each side of the equation. 0.2 + 0.7x + 0.3x = 4 + -0.3x + 0.3x Combine like terms: 0.7x + 0.3x = 1x 0.2 + 1x = 4 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 0.2 + 1x = 4 + 0.0 0.2 + 1x = 4 Add '-0.2' to each side of the equation. 0.2 + -0.2 + 1x = 4 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 1x = 4 + -0.2 1x = 4 + -0.2 Combine like terms: 4 + -0.2 = 3.8 1x = 3.8 Divide each side by '1'. x = 3.8 Simplifying x = 3.8
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