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Simplifying 0.5x + 0.67 = 0.3x + -0.67 Reorder the terms: 0.67 + 0.5x = 0.3x + -0.67 Reorder the terms: 0.67 + 0.5x = -0.67 + 0.3x Solving 0.67 + 0.5x = -0.67 + 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. 0.67 + 0.5x + -0.3x = -0.67 + 0.3x + -0.3x Combine like terms: 0.5x + -0.3x = 0.2x 0.67 + 0.2x = -0.67 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 0.67 + 0.2x = -0.67 + 0.0 0.67 + 0.2x = -0.67 Add '-0.67' to each side of the equation. 0.67 + -0.67 + 0.2x = -0.67 + -0.67 Combine like terms: 0.67 + -0.67 = 0.00 0.00 + 0.2x = -0.67 + -0.67 0.2x = -0.67 + -0.67 Combine like terms: -0.67 + -0.67 = -1.34 0.2x = -1.34 Divide each side by '0.2'. x = -6.7 Simplifying x = -6.7
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