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Simplifying 0.5x + 0.2 = 0.7x + -1.4 Reorder the terms: 0.2 + 0.5x = 0.7x + -1.4 Reorder the terms: 0.2 + 0.5x = -1.4 + 0.7x Solving 0.2 + 0.5x = -1.4 + 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. 0.2 + 0.5x + -0.7x = -1.4 + 0.7x + -0.7x Combine like terms: 0.5x + -0.7x = -0.2x 0.2 + -0.2x = -1.4 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 0.2 + -0.2x = -1.4 + 0.0 0.2 + -0.2x = -1.4 Add '-0.2' to each side of the equation. 0.2 + -0.2 + -0.2x = -1.4 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -0.2x = -1.4 + -0.2 -0.2x = -1.4 + -0.2 Combine like terms: -1.4 + -0.2 = -1.6 -0.2x = -1.6 Divide each side by '-0.2'. x = 8 Simplifying x = 8
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