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Simplifying 0.5x + -0.5 = 0.7x + 1 + -1x Reorder the terms: -0.5 + 0.5x = 0.7x + 1 + -1x Reorder the terms: -0.5 + 0.5x = 1 + 0.7x + -1x Combine like terms: 0.7x + -1x = -0.3x -0.5 + 0.5x = 1 + -0.3x Solving -0.5 + 0.5x = 1 + -0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3x' to each side of the equation. -0.5 + 0.5x + 0.3x = 1 + -0.3x + 0.3x Combine like terms: 0.5x + 0.3x = 0.8x -0.5 + 0.8x = 1 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 -0.5 + 0.8x = 1 + 0.0 -0.5 + 0.8x = 1 Add '0.5' to each side of the equation. -0.5 + 0.5 + 0.8x = 1 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 0.8x = 1 + 0.5 0.8x = 1 + 0.5 Combine like terms: 1 + 0.5 = 1.5 0.8x = 1.5 Divide each side by '0.8'. x = 1.875 Simplifying x = 1.875
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