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Simplifying 0.3x + 0.8(10 + -1x) = 0.4(10) 0.3x + (10 * 0.8 + -1x * 0.8) = 0.4(10) 0.3x + (8 + -0.8x) = 0.4(10) Reorder the terms: 8 + 0.3x + -0.8x = 0.4(10) Combine like terms: 0.3x + -0.8x = -0.5x 8 + -0.5x = 0.4(10) Multiply 0.4 * 10 8 + -0.5x = 4 Solving 8 + -0.5x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -0.5x = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -0.5x = 4 + -8 -0.5x = 4 + -8 Combine like terms: 4 + -8 = -4 -0.5x = -4 Divide each side by '-0.5'. x = 8 Simplifying x = 8
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