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Simplifying 0.5x + -17 = 0.3x + -1 Reorder the terms: -17 + 0.5x = 0.3x + -1 Reorder the terms: -17 + 0.5x = -1 + 0.3x Solving -17 + 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. -17 + 0.5x + -0.3x = -1 + 0.3x + -0.3x Combine like terms: 0.5x + -0.3x = 0.2x -17 + 0.2x = -1 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -17 + 0.2x = -1 + 0.0 -17 + 0.2x = -1 Add '17' to each side of the equation. -17 + 17 + 0.2x = -1 + 17 Combine like terms: -17 + 17 = 0 0 + 0.2x = -1 + 17 0.2x = -1 + 17 Combine like terms: -1 + 17 = 16 0.2x = 16 Divide each side by '0.2'. x = 80 Simplifying x = 80
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