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Simplifying 0.375x + -0.2x + 10 = 0.3x Reorder the terms: 10 + 0.375x + -0.2x = 0.3x Combine like terms: 0.375x + -0.2x = 0.175x 10 + 0.175x = 0.3x Solving 10 + 0.175x = 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 10 + 0.175x + -0.3x = 0.3x + -0.3x Combine like terms: 0.175x + -0.3x = -0.125x 10 + -0.125x = 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 10 + -0.125x = 0.0 Add '-10' to each side of the equation. 10 + -10 + -0.125x = 0.0 + -10 Combine like terms: 10 + -10 = 0 0 + -0.125x = 0.0 + -10 -0.125x = 0.0 + -10 Combine like terms: 0.0 + -10 = -10 -0.125x = -10 Divide each side by '-0.125'. x = 80 Simplifying x = 80
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