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Simplifying -0.1x + 1.67 = -0.5x + 7.27 Reorder the terms: 1.67 + -0.1x = -0.5x + 7.27 Reorder the terms: 1.67 + -0.1x = 7.27 + -0.5x Solving 1.67 + -0.1x = 7.27 + -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. 1.67 + -0.1x + 0.5x = 7.27 + -0.5x + 0.5x Combine like terms: -0.1x + 0.5x = 0.4x 1.67 + 0.4x = 7.27 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 1.67 + 0.4x = 7.27 + 0.0 1.67 + 0.4x = 7.27 Add '-1.67' to each side of the equation. 1.67 + -1.67 + 0.4x = 7.27 + -1.67 Combine like terms: 1.67 + -1.67 = 0.00 0.00 + 0.4x = 7.27 + -1.67 0.4x = 7.27 + -1.67 Combine like terms: 7.27 + -1.67 = 5.6 0.4x = 5.6 Divide each side by '0.4'. x = 14 Simplifying x = 14
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