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Simplifying 2.1 + 0.2x = 0.7x + -5.4 Reorder the terms: 2.1 + 0.2x = -5.4 + 0.7x Solving 2.1 + 0.2x = -5.4 + 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. 2.1 + 0.2x + -0.7x = -5.4 + 0.7x + -0.7x Combine like terms: 0.2x + -0.7x = -0.5x 2.1 + -0.5x = -5.4 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 2.1 + -0.5x = -5.4 + 0.0 2.1 + -0.5x = -5.4 Add '-2.1' to each side of the equation. 2.1 + -2.1 + -0.5x = -5.4 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + -0.5x = -5.4 + -2.1 -0.5x = -5.4 + -2.1 Combine like terms: -5.4 + -2.1 = -7.5 -0.5x = -7.5 Divide each side by '-0.5'. x = 15 Simplifying x = 15
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