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Simplifying -0.1x + 5.75 = -0.5x + 0.15 Reorder the terms: 5.75 + -0.1x = -0.5x + 0.15 Reorder the terms: 5.75 + -0.1x = 0.15 + -0.5x Solving 5.75 + -0.1x = 0.15 + -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. 5.75 + -0.1x + 0.5x = 0.15 + -0.5x + 0.5x Combine like terms: -0.1x + 0.5x = 0.4x 5.75 + 0.4x = 0.15 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 5.75 + 0.4x = 0.15 + 0.0 5.75 + 0.4x = 0.15 Add '-5.75' to each side of the equation. 5.75 + -5.75 + 0.4x = 0.15 + -5.75 Combine like terms: 5.75 + -5.75 = 0.00 0.00 + 0.4x = 0.15 + -5.75 0.4x = 0.15 + -5.75 Combine like terms: 0.15 + -5.75 = -5.6 0.4x = -5.6 Divide each side by '0.4'. x = -14 Simplifying x = -14
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