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Simplifying 0.5x + 0.1 = 0.7x + -0.9 Reorder the terms: 0.1 + 0.5x = 0.7x + -0.9 Reorder the terms: 0.1 + 0.5x = -0.9 + 0.7x Solving 0.1 + 0.5x = -0.9 + 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. 0.1 + 0.5x + -0.7x = -0.9 + 0.7x + -0.7x Combine like terms: 0.5x + -0.7x = -0.2x 0.1 + -0.2x = -0.9 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 0.1 + -0.2x = -0.9 + 0.0 0.1 + -0.2x = -0.9 Add '-0.1' to each side of the equation. 0.1 + -0.1 + -0.2x = -0.9 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + -0.2x = -0.9 + -0.1 -0.2x = -0.9 + -0.1 Combine like terms: -0.9 + -0.1 = -1 -0.2x = -1 Divide each side by '-0.2'. x = 5 Simplifying x = 5
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