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Simplifying 0.7x + 0.2 = 0.9x + -0.8 Reorder the terms: 0.2 + 0.7x = 0.9x + -0.8 Reorder the terms: 0.2 + 0.7x = -0.8 + 0.9x Solving 0.2 + 0.7x = -0.8 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 0.2 + 0.7x + -0.9x = -0.8 + 0.9x + -0.9x Combine like terms: 0.7x + -0.9x = -0.2x 0.2 + -0.2x = -0.8 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 0.2 + -0.2x = -0.8 + 0.0 0.2 + -0.2x = -0.8 Add '-0.2' to each side of the equation. 0.2 + -0.2 + -0.2x = -0.8 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -0.2x = -0.8 + -0.2 -0.2x = -0.8 + -0.2 Combine like terms: -0.8 + -0.2 = -1 -0.2x = -1 Divide each side by '-0.2'. x = 5 Simplifying x = 5
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