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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 = 0.9x 0.3 + 0.9x = -2.1 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 0.3 + 0.9x = -2.1 + 0.0 0.3 + 0.9x = -2.1 Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.9x = -2.1 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.9x = -2.1 + -0.3 0.9x = -2.1 + -0.3 Combine like terms: -2.1 + -0.3 = -2.4 0.9x = -2.4 Divide each side by '0.9'. x = -2.666666667 Simplifying x = -2.666666667
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