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Simplifying 0.7x + -1 = 0.5x + -0.7 Reorder the terms: -1 + 0.7x = 0.5x + -0.7 Reorder the terms: -1 + 0.7x = -0.7 + 0.5x Solving -1 + 0.7x = -0.7 + 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 + 0.7x + -0.5x = -0.7 + 0.5x + -0.5x Combine like terms: 0.7x + -0.5x = 0.2x -1 + 0.2x = -0.7 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -1 + 0.2x = -0.7 + 0.0 -1 + 0.2x = -0.7 Add '1' to each side of the equation. -1 + 1 + 0.2x = -0.7 + 1 Combine like terms: -1 + 1 = 0 0 + 0.2x = -0.7 + 1 0.2x = -0.7 + 1 Combine like terms: -0.7 + 1 = 0.3 0.2x = 0.3 Divide each side by '0.2'. x = 1.5 Simplifying x = 1.5
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