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Simplifying 0.2x + -0.3 = 0.7x + -2.1 Reorder the terms: -0.3 + 0.2x = 0.7x + -2.1 Reorder the terms: -0.3 + 0.2x = -2.1 + 0.7x Solving -0.3 + 0.2x = -2.1 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. -0.3 + 0.2x + -0.7x = -2.1 + 0.7x + -0.7x Combine like terms: 0.2x + -0.7x = -0.5x -0.3 + -0.5x = -2.1 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 -0.3 + -0.5x = -2.1 + 0.0 -0.3 + -0.5x = -2.1 Add '0.3' to each side of the equation. -0.3 + 0.3 + -0.5x = -2.1 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + -0.5x = -2.1 + 0.3 -0.5x = -2.1 + 0.3 Combine like terms: -2.1 + 0.3 = -1.8 -0.5x = -1.8 Divide each side by '-0.5'. x = 3.6 Simplifying x = 3.6
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