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Simplifying -0.7x + 0.5 + 1.2 = 0.5x + 0.8 Reorder the terms: 0.5 + 1.2 + -0.7x = 0.5x + 0.8 Combine like terms: 0.5 + 1.2 = 1.7 1.7 + -0.7x = 0.5x + 0.8 Reorder the terms: 1.7 + -0.7x = 0.8 + 0.5x Solving 1.7 + -0.7x = 0.8 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 1.7 + -0.7x + -0.5x = 0.8 + 0.5x + -0.5x Combine like terms: -0.7x + -0.5x = -1.2x 1.7 + -1.2x = 0.8 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 1.7 + -1.2x = 0.8 + 0.0 1.7 + -1.2x = 0.8 Add '-1.7' to each side of the equation. 1.7 + -1.7 + -1.2x = 0.8 + -1.7 Combine like terms: 1.7 + -1.7 = 0.0 0.0 + -1.2x = 0.8 + -1.7 -1.2x = 0.8 + -1.7 Combine like terms: 0.8 + -1.7 = -0.9 -1.2x = -0.9 Divide each side by '-1.2'. x = 0.75 Simplifying x = 0.75
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