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Simplifying -0.1x + 1.25 = -0.5x + 4.45 Reorder the terms: 1.25 + -0.1x = -0.5x + 4.45 Reorder the terms: 1.25 + -0.1x = 4.45 + -0.5x Solving 1.25 + -0.1x = 4.45 + -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. 1.25 + -0.1x + 0.5x = 4.45 + -0.5x + 0.5x Combine like terms: -0.1x + 0.5x = 0.4x 1.25 + 0.4x = 4.45 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 1.25 + 0.4x = 4.45 + 0.0 1.25 + 0.4x = 4.45 Add '-1.25' to each side of the equation. 1.25 + -1.25 + 0.4x = 4.45 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + 0.4x = 4.45 + -1.25 0.4x = 4.45 + -1.25 Combine like terms: 4.45 + -1.25 = 3.2 0.4x = 3.2 Divide each side by '0.4'. x = 8 Simplifying x = 8
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