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Simplifying 0.67 + -1x + 5x = 0.5 + x Combine like terms: -1x + 5x = 4x 0.67 + 4x = 0.5 + x Solving 0.67 + 4x = 0.5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 0.67 + 4x + -1x = 0.5 + x + -1x Combine like terms: 4x + -1x = 3x 0.67 + 3x = 0.5 + x + -1x Combine like terms: x + -1x = 0 0.67 + 3x = 0.5 + 0 0.67 + 3x = 0.5 Add '-0.67' to each side of the equation. 0.67 + -0.67 + 3x = 0.5 + -0.67 Combine like terms: 0.67 + -0.67 = 0.00 0.00 + 3x = 0.5 + -0.67 3x = 0.5 + -0.67 Combine like terms: 0.5 + -0.67 = -0.17 3x = -0.17 Divide each side by '3'. x = -0.05666666667 Simplifying x = -0.05666666667
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