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Simplifying -0.5x + 3.75 = -0.1x + 8.15 Reorder the terms: 3.75 + -0.5x = -0.1x + 8.15 Reorder the terms: 3.75 + -0.5x = 8.15 + -0.1x Solving 3.75 + -0.5x = 8.15 + -0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1x' to each side of the equation. 3.75 + -0.5x + 0.1x = 8.15 + -0.1x + 0.1x Combine like terms: -0.5x + 0.1x = -0.4x 3.75 + -0.4x = 8.15 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 3.75 + -0.4x = 8.15 + 0.0 3.75 + -0.4x = 8.15 Add '-3.75' to each side of the equation. 3.75 + -3.75 + -0.4x = 8.15 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + -0.4x = 8.15 + -3.75 -0.4x = 8.15 + -3.75 Combine like terms: 8.15 + -3.75 = 4.4 -0.4x = 4.4 Divide each side by '-0.4'. x = -11 Simplifying x = -11
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