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Simplifying 0.5x = 0.7(x + 2.1) Reorder the terms: 0.5x = 0.7(2.1 + x) 0.5x = (2.1 * 0.7 + x * 0.7) 0.5x = (1.47 + 0.7x) Solving 0.5x = 1.47 + 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. 0.5x + -0.7x = 1.47 + 0.7x + -0.7x Combine like terms: 0.5x + -0.7x = -0.2x -0.2x = 1.47 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 -0.2x = 1.47 + 0.0 -0.2x = 1.47 Divide each side by '-0.2'. x = -7.35 Simplifying x = -7.35
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