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Simplifying 0.3x + 0.8(20 + -1x) = 0.1(10) 0.3x + (20 * 0.8 + -1x * 0.8) = 0.1(10) 0.3x + (16 + -0.8x) = 0.1(10) Reorder the terms: 16 + 0.3x + -0.8x = 0.1(10) Combine like terms: 0.3x + -0.8x = -0.5x 16 + -0.5x = 0.1(10) Multiply 0.1 * 10 16 + -0.5x = 1 Solving 16 + -0.5x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -0.5x = 1 + -16 Combine like terms: 16 + -16 = 0 0 + -0.5x = 1 + -16 -0.5x = 1 + -16 Combine like terms: 1 + -16 = -15 -0.5x = -15 Divide each side by '-0.5'. x = 30 Simplifying x = 30
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