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Simplifying 0.5x + -1 = 0.7x + 0.2 Reorder the terms: -1 + 0.5x = 0.7x + 0.2 Reorder the terms: -1 + 0.5x = 0.2 + 0.7x Solving -1 + 0.5x = 0.2 + 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. -1 + 0.5x + -0.7x = 0.2 + 0.7x + -0.7x Combine like terms: 0.5x + -0.7x = -0.2x -1 + -0.2x = 0.2 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 -1 + -0.2x = 0.2 + 0.0 -1 + -0.2x = 0.2 Add '1' to each side of the equation. -1 + 1 + -0.2x = 0.2 + 1 Combine like terms: -1 + 1 = 0 0 + -0.2x = 0.2 + 1 -0.2x = 0.2 + 1 Combine like terms: 0.2 + 1 = 1.2 -0.2x = 1.2 Divide each side by '-0.2'. x = -6 Simplifying x = -6
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